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5812288576 = 261729414493
BaseRepresentation
bin1010110100111000…
…00111110001000000
3120000001211212000021
411122130013301000
543400421213301
62400425303224
7264014431513
oct53234076100
916001755007
105812288576
112512981486
121162634b14
13718224c13
143d1d08d7a
152404098a1
hex15a707c40

5812288576 has 112 divisors (see below), whose sum is σ = 12944337840. Its totient is φ = 2575892480.

The previous prime is 5812288571. The next prime is 5812288579. The reversal of 5812288576 is 6758822185.

It can be written as a sum of positive squares in 8 ways, for example, as 330366976 + 5481921600 = 18176^2 + 74040^2 .

It is not an unprimeable number, because it can be changed into a prime (5812288571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291386 + ... + 1295878.

It is an arithmetic number, because the mean of its divisors is an integer number (115574445).

Almost surely, 25812288576 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 5812288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472168920).

5812288576 is an abundant number, since it is smaller than the sum of its proper divisors (7132049264).

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

5812288576 is a wasteful number, since it uses less digits than its factorization.

5812288576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4582 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 52.

The square root of 5812288576 is about 76238.3668240604. The cubic root of 5812288576 is about 1797.9697867111.

The spelling of 5812288576 in words is "five billion, eight hundred twelve million, two hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 29 32 34 41 58 64 68 82 116 136 164 232 272 328 464 493 544 656 697 928 986 1088 1189 1312 1394 1856 1972 2378 2624 2788 3944 4493 4756 5576 7888 8986 9512 11152 15776 17972 19024 20213 22304 31552 35944 38048 40426 44608 71888 76096 76381 80852 130297 143776 152762 161704 184213 260594 287552 305524 323408 368426 521188 611048 646816 736852 1042376 1222096 1293632 1473704 2084752 2215049 2444192 2947408 3131621 4169504 4430098 4888384 5342177 5894816 6263242 8339008 8860196 10684354 11789632 12526484 17720392 21368708 25052968 35440784 42737416 50105936 70881568 85474832 90817009 100211872 141763136 170949664 181634018 200423744 341899328 363268036 726536072 1453072144 2906144288 5812288576