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2478054280 = 23513372592
BaseRepresentation
bin1001001110110100…
…0001101110001000
320101200220012102011
42103231001232020
520033340214110
61045521145304
7115260054022
oct22355015610
96350805364
102478054280
111061884949
12591a8b234
13306517510
1419717b012
15e784348a
hex93b41b88

2478054280 has 144 divisors (see below), whose sum is σ = 6277555620. Its totient is φ = 875155968.

The previous prime is 2478054269. The next prime is 2478054361. The reversal of 2478054280 is 824508742.

It can be written as a sum of positive squares in 6 ways, for example, as 1695957124 + 782097156 = 41182^2 + 27966^2 .

It is a super-2 number, since 2×24780542802 = 12281506029252636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42000891 + ... + 42000949.

Almost surely, 22478054280 is an apocalyptic number.

2478054280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478054280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138777810).

2478054280 is an abundant number, since it is smaller than the sum of its proper divisors (3799501340).

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

2478054280 is a wasteful number, since it uses less digits than its factorization.

2478054280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 2478054280 is about 49780.0590598284. The cubic root of 2478054280 is about 1353.2258075544.

The spelling of 2478054280 in words is "two billion, four hundred seventy-eight million, fifty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 59 65 74 104 118 130 148 185 236 260 295 296 370 472 481 520 590 740 767 962 1180 1369 1480 1534 1924 2183 2360 2405 2738 3068 3481 3835 3848 4366 4810 5476 6136 6845 6962 7670 8732 9620 10915 10952 13690 13924 15340 17405 17464 17797 19240 21830 27380 27848 28379 30680 34810 35594 43660 45253 54760 56758 69620 71188 80771 87320 88985 90506 113516 128797 139240 141895 142376 161542 177970 181012 226265 227032 257594 283790 323084 355940 362024 403855 452530 515188 567580 643985 646168 711880 807710 905060 1030376 1050023 1135160 1287970 1615420 1674361 1810120 2100046 2575940 3230840 3348722 4200092 4765489 5151880 5250115 6697444 8371805 8400184 9530978 10500230 13394888 16743610 19061956 21000460 23827445 33487220 38123912 42000920 47654890 61951357 66974440 95309780 123902714 190619560 247805428 309756785 495610856 619513570 1239027140 2478054280