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2728390756 = 2274132412
BaseRepresentation
bin1010001010011111…
…1111000001100100
321001010221121111111
42202213333001210
521041432001011
61130422514404
7124416640000
oct24247770144
97033847444
102728390756
1111801183a3
12641895a04
13346347100
141bc503700
1510e7e2121
hexa29ff064

2728390756 has 135 divisors (see below), whose sum is σ = 6182263563. Its totient is φ = 1053037440.

The previous prime is 2728390751. The next prime is 2728390799. The reversal of 2728390756 is 6570938272.

The square root of 2728390756 is 52234.

It is a perfect power (a square), and thus also a powerful number.

2728390756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1817316900 + 911073856 = 42630^2 + 30184^2 .

It is a super-2 number, since 2×27283907562 = 14888232234852503072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2728390751) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66546096 + ... + 66546136.

Almost surely, 22728390756 is an apocalyptic number.

2728390756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2728390756 is the 52234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728390756

2728390756 is an abundant number, since it is smaller than the sum of its proper divisors (3453872807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2728390756 is an equidigital number, since it uses as much as digits as its factorization.

2728390756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The cubic root of 2728390756 is about 1397.3403170712.

Multiplying 2728390756 by its sum of digits (49), we get a square (133691147044 = 3656382).

2728390756 divided by its sum of digits (49) gives a square (55681444 = 74622).

The spelling of 2728390756 in words is "two billion, seven hundred twenty-eight million, three hundred ninety thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 169 182 196 287 338 343 364 533 574 637 676 686 1066 1148 1183 1274 1372 1681 2009 2132 2366 2401 2548 3362 3731 4018 4459 4732 4802 6724 6929 7462 8036 8281 8918 9604 11767 13858 14063 14924 16562 17836 21853 23534 26117 27716 28126 31213 33124 43706 47068 48503 52234 56252 57967 62426 82369 87412 97006 98441 104468 115934 124852 152971 164738 182819 194012 196882 231868 284089 305942 329476 339521 365638 393764 405769 568178 576583 611884 679042 731276 811538 1070797 1136356 1153166 1279733 1358084 1623076 1988623 2141594 2306332 2376647 2559466 3977246 4036081 4283188 4753294 5118932 7495579 7954492 8072162 9506588 13920361 14991158 16144324 16636529 27840722 29982316 33273058 52469053 55681444 66546116 97442527 104938106 194885054 209876212 389770108 682097689 1364195378 2728390756