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2749405472 = 251137379557
BaseRepresentation
bin1010001111100000…
…1001100100100000
321002121111021021022
42203320021210200
521112321433342
61132453145012
7125063363252
oct24370114440
97077437238
102749405472
111190a71030
1264892b168
1334a7c4358
141c1213cd2
151115939d2
hexa3e09920

2749405472 has 96 divisors (see below), whose sum is σ = 6091485120. Its totient is φ = 1210567680.

The previous prime is 2749405457. The next prime is 2749405493. The reversal of 2749405472 is 2745049472.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4935818 + ... + 4936374.

It is an arithmetic number, because the mean of its divisors is an integer number (63452970).

Almost surely, 22749405472 is an apocalyptic number.

2749405472 is a gapful number since it is divisible by the number (22) 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 2749405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045742560).

2749405472 is an abundant number, since it is smaller than the sum of its proper divisors (3342079648).

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

2749405472 is a wasteful number, since it uses less digits than its factorization.

2749405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 2749405472 is about 52434.7735000353. The cubic root of 2749405472 is about 1400.9186949699.

The spelling of 2749405472 in words is "two billion, seven hundred forty-nine million, four hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 379 407 557 592 758 814 1114 1184 1516 1628 2228 3032 3256 4169 4456 6064 6127 6512 8338 8912 12128 12254 13024 14023 16676 17824 20609 24508 28046 33352 41218 49016 56092 66704 82436 98032 112184 133408 154253 164872 196064 211103 224368 226699 308506 329744 422206 448736 453398 617012 659488 844412 906796 1234024 1688824 1813592 2322133 2468048 3377648 3627184 4644266 4936096 6755296 7254368 7810811 9288532 15621622 18577064 31243244 37154128 62486488 74308256 85918921 124972976 171837842 249945952 343675684 687351368 1374702736 2749405472