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53971056 = 2433177349
BaseRepresentation
bin1100110111100…
…0100001110000
310202120000101000
43031320201300
5102304033211
65204442000
71223514006
oct315704160
9122500330
1053971056
1128513287
12160a9300
13b248a49
14724ca76
154b11656
hex3378870

53971056 has 80 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 16929792.

The previous prime is 53971051. The next prime is 53971069. The reversal of 53971056 is 65017935.

It is a happy number.

53971056 is a `hidden beast` number, since 539 + 71 + 0 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 53971056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53971051) 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, 3670 + ... + 11018.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 253971056 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 53971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

53971056 is an abundant number, since it is smaller than the sum of its proper divisors (110080944).

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

53971056 is a wasteful number, since it uses less digits than its factorization.

53971056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383 (or 7371 counting only the distinct ones).

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

The square root of 53971056 is about 7346.4995746274. The cubic root of 53971056 is about 377.9087711309.

The spelling of 53971056 in words is "fifty-three million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 7349 14698 22047 29396 44094 58792 66141 88188 117584 124933 132282 176376 198423 249866 264564 352752 374799 396846 499732 529128 749598 793692 999464 1058256 1124397 1499196 1587384 1998928 2248794 2998392 3174768 3373191 4497588 5996784 6746382 8995176 13492764 17990352 26985528 53971056