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5752428624 = 2433113117839
BaseRepresentation
bin1010101101101111…
…10001100001010000
3112211220012122121000
411112313301201100
543240110203444
62350450302000
7262356556635
oct52667614120
915756178530
105752428624
112492106848
121146587900
137089c6927
143c7da618c
1523a033469
hex156df1850

5752428624 has 80 divisors (see below), whose sum is σ = 16657862400. Its totient is φ = 1900491264.

The previous prime is 5752428611. The next prime is 5752428629. The reversal of 5752428624 is 4268242575.

It is a self number, because there is not a number n which added to its sum of digits gives 5752428624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5752428629) 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, 10104 + ... + 107735.

It is an arithmetic number, because the mean of its divisors is an integer number (208223280).

Almost surely, 25752428624 is an apocalyptic number.

5752428624 is a gapful number since it is divisible by the number (54) 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 5752428624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328931200).

5752428624 is an abundant number, since it is smaller than the sum of its proper divisors (10905433776).

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

5752428624 is a wasteful number, since it uses less digits than its factorization.

5752428624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117969 (or 117957 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 5752428624 is about 75844.7666223583. The cubic root of 5752428624 is about 1791.7761282965.

The spelling of 5752428624 in words is "five billion, seven hundred fifty-two million, four hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 12204 16272 24408 48816 117839 235678 353517 471356 707034 942712 1060551 1414068 1885424 2121102 2828136 3181653 4242204 5656272 6363306 8484408 12726612 13315807 16968816 25453224 26631614 39947421 50906448 53263228 79894842 106526456 119842263 159789684 213052912 239684526 319579368 359526789 479369052 639158736 719053578 958738104 1438107156 1917476208 2876214312 5752428624