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53083656 = 233217311399
BaseRepresentation
bin1100101001111…
…1111000001000
310200212221002100
43022133320020
5102042134111
65133433400
71213126563
oct312377010
9120787070
1053083656
1127a6759a
121593b860
13acc7b62
14709b4da
1549d8756
hex329fe08

53083656 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 16104960.

The previous prime is 53083651. The next prime is 53083669. The reversal of 53083656 is 65638035.

53083656 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53083656.

It is not an unprimeable number, because it can be changed into a prime (53083651) 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 23 ways as a sum of consecutive naturals, for example, 37245 + ... + 38643.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 253083656 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 53083656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

53083656 is an abundant number, since it is smaller than the sum of its proper divisors (104164344).

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

53083656 is a wasteful number, since it uses less digits than its factorization.

53083656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53083656 is about 7285.8531415339. The cubic root of 53083656 is about 375.8261041355.

The spelling of 53083656 in words is "fifty-three million, eighty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1399 1581 2108 2232 2798 3162 4197 4216 4743 5596 6324 8394 9486 11192 12591 12648 16788 18972 23783 25182 33576 37944 43369 47566 50364 71349 86738 95132 100728 130107 142698 173476 190264 214047 260214 285396 346952 390321 428094 520428 570792 737273 780642 856188 1040856 1474546 1561284 1712376 2211819 2949092 3122568 4423638 5898184 6635457 8847276 13270914 17694552 26541828 53083656