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5276757312 = 26348911437
BaseRepresentation
bin1001110101000010…
…01110110101000000
3111121202011001020000
410322201032311000
541301322213222
62231335120000
7244522461051
oct47241166500
914552131200
105276757312
112268656962
121033213000
136612ac308
14380b44728
1520d3c39ac
hex13a84ed40

5276757312 has 140 divisors (see below), whose sum is σ = 15819097140. Its totient is φ = 1739003904.

The previous prime is 5276757307. The next prime is 5276757319. The reversal of 5276757312 is 2137576725.

5276757312 is a `hidden beast` number, since 5 + 2 + 7 + 67 + 573 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1280494656 + 3996262656 = 35784^2 + 63216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5276757319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455658 + ... + 467094.

It is an arithmetic number, because the mean of its divisors is an integer number (112993551).

Almost surely, 25276757312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5276757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909548570).

5276757312 is an abundant number, since it is smaller than the sum of its proper divisors (10542339828).

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

5276757312 is a wasteful number, since it uses less digits than its factorization.

5276757312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550 (or 11531 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 5276757312 is about 72641.2920589936. The cubic root of 5276757312 is about 1740.9609911505.

The spelling of 5276757312 in words is "five billion, two hundred seventy-six million, seven hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 144 162 178 192 216 267 288 324 356 432 534 576 648 712 801 864 1068 1296 1424 1602 1728 2136 2403 2592 2848 3204 4272 4806 5184 5696 6408 7209 8544 9612 11437 12816 14418 17088 19224 22874 25632 28836 34311 38448 45748 51264 57672 68622 76896 91496 102933 115344 137244 153792 182992 205866 230688 274488 308799 365984 411732 461376 548976 617598 731968 823464 926397 1017893 1097952 1235196 1646928 1852794 2035786 2195904 2470392 3053679 3293856 3705588 4071572 4940784 6107358 6587712 7411176 8143144 9161037 9881568 12214716 14822352 16286288 18322074 19763136 24429432 27483111 29644704 32572576 36644148 48858864 54966222 59289408 65145152 73288296 82449333 97717728 109932444 146576592 164898666 195435456 219864888 293153184 329797332 439729776 586306368 659594664 879459552 1319189328 1758919104 2638378656 5276757312