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53087736 = 233131710009
BaseRepresentation
bin1100101010000…
…0110111111000
310200220010200110
43022200313320
5102042301421
65133504320
71213144512
oct312406770
9120803613
1053087736
1127a6a669
12159420a0
13acc9980
14709cbb2
1549d9a76
hex32a0df8

53087736 has 64 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 15372288.

The previous prime is 53087731. The next prime is 53087747. The reversal of 53087736 is 63778035.

53087736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 53087694 and 53087703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53087731) 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 15 ways as a sum of consecutive naturals, for example, 300 + ... + 10308.

Almost surely, 253087736 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 53087736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

53087736 is an abundant number, since it is smaller than the sum of its proper divisors (98263464).

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

53087736 is a wasteful number, since it uses less digits than its factorization.

53087736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 53087736 is about 7286.1331308177. The cubic root of 53087736 is about 375.8357325305.

The spelling of 53087736 in words is "fifty-three million, eighty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 10009 20018 30027 40036 60054 80072 120108 130117 170153 240216 260234 340306 390351 510459 520468 680612 780702 1020918 1040936 1361224 1561404 2041836 2211989 3122808 4083672 4423978 6635967 8847956 13271934 17695912 26543868 53087736