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52625376 = 253479257
BaseRepresentation
bin1100100010111…
…1111111100000
310200000122110000
43020233333200
5101433003001
65115540000
71206210516
oct310577740
9120018400
1052625376
1127784251
121575a600
13ab9739b
146dbc4b6
154947a86
hex322ffe0

52625376 has 120 divisors (see below), whose sum is σ = 157338720. Its totient is φ = 17252352.

The previous prime is 52625347. The next prime is 52625381. The reversal of 52625376 is 67352625.

It is a happy number.

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 52625376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204640 + ... + 204896.

It is an arithmetic number, because the mean of its divisors is an integer number (1311156).

Almost surely, 252625376 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 52625376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78669360).

52625376 is an abundant number, since it is smaller than the sum of its proper divisors (104713344).

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

52625376 is a wasteful number, since it uses less digits than its factorization.

52625376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 52625376 is about 7254.3349798586. The cubic root of 52625376 is about 374.7414537846.

The spelling of 52625376 in words is "fifty-two million, six hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 257 288 316 324 432 474 514 632 648 711 771 864 948 1028 1264 1296 1422 1542 1896 2056 2133 2313 2528 2592 2844 3084 3792 4112 4266 4626 5688 6168 6399 6939 7584 8224 8532 9252 11376 12336 12798 13878 17064 18504 20303 20817 22752 24672 25596 27756 34128 37008 40606 41634 51192 55512 60909 68256 74016 81212 83268 102384 111024 121818 162424 166536 182727 204768 222048 243636 324848 333072 365454 487272 548181 649696 666144 730908 974544 1096362 1461816 1644543 1949088 2192724 2923632 3289086 4385448 5847264 6578172 8770896 13156344 17541792 26312688 52625376