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5157936 = 2432721743
BaseRepresentation
bin10011101011010000110000
3100201001100200
4103223100300
52310023221
6302315200
761561500
oct23532060
910631320
105157936
112a03263
121888b00
1310b7944
14983a00
156bd426
hex4eb430

5157936 has 180 divisors, whose sum is σ = 18193032. Its totient is φ = 1354752.

The previous prime is 5157917. The next prime is 5157941. The reversal of 5157936 is 6397515.

It is a happy number.

5157936 is a `hidden beast` number, since 51 + 579 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5157936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119931 + ... + 119973.

Almost surely, 25157936 is an apocalyptic number.

5157936 is a gapful number since it is divisible by the number (56) 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 5157936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096516).

5157936 is an abundant number, since it is smaller than the sum of its proper divisors (13035096).

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

5157936 is a wasteful number, since it uses less digits than its factorization.

5157936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5157936 is about 2271.1089802121. The cubic root of 5157936 is about 172.7794085546.

It can be divided in two parts, 51579 and 36, that added together give a palindrome (51615).

The spelling of 5157936 in words is "five million, one hundred fifty-seven thousand, nine hundred thirty-six".