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2755923264 = 263659069
BaseRepresentation
bin1010010001000100…
…0000110101000000
321010001202102000000
42210101000311000
521121004021024
61133245000000
7125202650463
oct24421006500
97101672000
102755923264
111194712a36
1264ab53000
1334bc66c33
141c202d2da
15111e2ecc9
hexa4440d40

2755923264 has 98 divisors (see below), whose sum is σ = 8199565770. Its totient is φ = 918625536.

The previous prime is 2755923259. The next prime is 2755923283. The reversal of 2755923264 is 4623295572.

2755923264 is a `hidden beast` number, since 2 + 7 + 559 + 2 + 32 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2576577600 + 179345664 = 50760^2 + 13392^2 .

It is a super-2 number, since 2×27559232642 = 15190226074112827392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 17122 + ... + 76190.

Almost surely, 22755923264 is an apocalyptic number.

2755923264 is a gapful number since it is divisible by the number (24) 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 2755923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099782885).

2755923264 is an abundant number, since it is smaller than the sum of its proper divisors (5443642506).

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

2755923264 is an frugal number, since it uses more digits than its factorization.

2755923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59099 (or 59074 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2755923264 is about 52496.8881363458. Note that the first 3 decimals coincide. The cubic root of 2755923264 is about 1402.0248360310.

The spelling of 2755923264 in words is "two billion, seven hundred fifty-five million, nine hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 59069 118138 177207 236276 354414 472552 531621 708828 945104 1063242 1417656 1594863 1890208 2126484 2835312 3189726 3780416 4252968 4784589 5670624 6379452 8505936 9569178 11341248 12758904 14353767 17011872 19138356 25517808 28707534 34023744 38276712 43061301 51035616 57415068 76553424 86122602 102071232 114830136 153106848 172245204 229660272 306213696 344490408 459320544 688980816 918641088 1377961632 2755923264