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52814376 = 23331719757
BaseRepresentation
bin1100100101111…
…0001000101000
310200101020201000
43021132020220
5102010030001
65123555000
71210625526
oct311361050
9120336630
1052814376
11278a324a
121582ba60
13ac32414
14702b316
154983a86
hex325e228

52814376 has 128 divisors (see below), whose sum is σ = 163728000. Its totient is φ = 15676416.

The previous prime is 52814351. The next prime is 52814389. The reversal of 52814376 is 67341825.

52814376 is a `hidden beast` number, since 5 + 281 + 4 + 376 = 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 52814376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69390 + ... + 70146.

It is an arithmetic number, because the mean of its divisors is an integer number (1279125).

Almost surely, 252814376 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 52814376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81864000).

52814376 is an abundant number, since it is smaller than the sum of its proper divisors (110913624).

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

52814376 is a wasteful number, since it uses less digits than its factorization.

52814376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 52814376 is about 7267.3499984520. The cubic root of 52814376 is about 375.1895361866.

The spelling of 52814376 in words is "fifty-two million, eight hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 757 918 969 1026 1224 1292 1368 1514 1836 1938 2052 2271 2584 2907 3028 3672 3876 4104 4542 5814 6056 6813 7752 8721 9084 11628 12869 13626 14383 17442 18168 20439 23256 25738 27252 28766 34884 38607 40878 43149 51476 54504 57532 69768 77214 81756 86298 102952 115064 115821 129447 154428 163512 172596 231642 244511 258894 308856 345192 347463 388341 463284 489022 517788 694926 733533 776682 926568 978044 1035576 1389852 1467066 1553364 1956088 2200599 2779704 2934132 3106728 4401198 5868264 6601797 8802396 13203594 17604792 26407188 52814376