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5757830672 = 241123261843
BaseRepresentation
bin1010101110011000…
…11000011000010000
3112212021101002210212
411113030120120100
543243001040142
62351202143252
7262453516226
oct52714303020
915767332725
105757830672
112495166450
121148351b28
13709b686c9
143c89b0b16
1523a74dd82
hex157318610

5757830672 has 60 divisors (see below), whose sum is σ = 12722300304. Its totient is φ = 2503364160.

The previous prime is 5757830671. The next prime is 5757830693. The reversal of 5757830672 is 2760387575.

It is a happy number.

It is a super-2 number, since 2×57578306722 = 66305228094847943168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5757830672.

It is not an unprimeable number, because it can be changed into a prime (5757830671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62183 + ... + 124025.

Almost surely, 25757830672 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 5757830672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361150152).

5757830672 is an abundant number, since it is smaller than the sum of its proper divisors (6964469632).

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

5757830672 is a wasteful number, since it uses less digits than its factorization.

5757830672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61908 (or 61879 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

The square root of 5757830672 is about 75880.3707950877. The cubic root of 5757830672 is about 1792.3368324769.

The spelling of 5757830672 in words is "five billion, seven hundred fifty-seven million, eight hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 529 1012 1058 2024 2116 4048 4232 5819 8464 11638 23276 46552 61843 93104 123686 247372 494744 680273 989488 1360546 1422389 2721092 2844778 5442184 5689556 10884368 11379112 15646279 22758224 31292558 32714947 62585116 65429894 125170232 130859788 250340464 261719576 359864417 523439152 719728834 1439457668 2878915336 5757830672