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875384136 = 2332113493167
BaseRepresentation
bin110100001011010…
…100110101001000
32021000012010021200
4310023110311020
53243044243021
6222510304200
730456433224
oct6413246510
92230163250
10875384136
1140a14a070
122051b8060
1310c4882a3
148438d784
1551cb8126
hex342d4d48

875384136 has 96 divisors (see below), whose sum is σ = 2594592000. Its totient is φ = 264424320.

The previous prime is 875384129. The next prime is 875384149. The reversal of 875384136 is 631483578.

875384136 is a `hidden beast` number, since 87 + 538 + 4 + 1 + 36 = 666.

It is a super-3 number, since 3×8753841363 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 875384091 and 875384100.

It is an unprimeable number.

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, 274825 + ... + 277991.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2875384136 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 875384136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296000).

875384136 is an abundant number, since it is smaller than the sum of its proper divisors (1719207864).

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

875384136 is a wasteful number, since it uses less digits than its factorization.

875384136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3532 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 875384136 is about 29586.8912865140. The cubic root of 875384136 is about 956.6055377150.

The spelling of 875384136 in words is "eight hundred seventy-five million, three hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 349 396 698 792 1047 1396 2094 2792 3141 3167 3839 4188 6282 6334 7678 8376 9501 11517 12564 12668 15356 19002 23034 25128 25336 28503 30712 34551 34837 38004 46068 57006 69102 69674 76008 92136 104511 114012 138204 139348 209022 228024 276408 278696 313533 418044 627066 836088 1105283 1254132 2210566 2508264 3315849 4421132 6631698 8842264 9947547 12158113 13263396 19895094 24316226 26526792 36474339 39790188 48632452 72948678 79580376 97264904 109423017 145897356 218846034 291794712 437692068 875384136