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51856002 = 23211229821
BaseRepresentation
bin1100010111010…
…0001010000010
310121120120001200
43011310022002
5101233343002
65051242030
71166524452
oct305641202
9117516050
1051856002
11272a9200
1215449316
13a988133
146c5bd62
154844b1c
hex3174282

51856002 has 72 divisors (see below), whose sum is σ = 127911420. Its totient is φ = 15153600.

The previous prime is 51855989. The next prime is 51856033. The reversal of 51856002 is 20065815.

51856002 is a `hidden beast` number, since 51 + 8 + 5 + 600 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51279921 + 576081 = 7161^2 + 759^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62752 + ... + 63572.

Almost surely, 251856002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51856002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63955710).

51856002 is an abundant number, since it is smaller than the sum of its proper divisors (76055418).

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

51856002 is a wasteful number, since it uses less digits than its factorization.

51856002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51856002 is about 7201.1111642579. Note that the first 4 decimals coincide. The cubic root of 51856002 is about 372.9062624578.

The spelling of 51856002 in words is "fifty-one million, eight hundred fifty-six thousand, two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 821 957 1089 1642 1914 2178 2463 2871 3509 4926 5742 7018 7389 9031 10527 14778 18062 21054 23809 27093 31581 47618 54186 63162 71427 81279 99341 142854 162558 198682 214281 261899 298023 428562 523798 596046 785697 894069 1571394 1788138 2357091 2880889 4714182 5761778 8642667 17285334 25928001 51856002