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52712900 = 2252527129
BaseRepresentation
bin1100100100010…
…1010111000100
310200012002111122
43021011113010
5101443303100
65121453112
71210023632
oct311052704
9120162448
1052712900
1127833a89
12157a1198
13abc8186
147002352
154963985
hex32455c4

52712900 has 18 divisors (see below), whose sum is σ = 114387210. Its totient is φ = 21085120.

The previous prime is 52712879. The next prime is 52712909. The reversal of 52712900 is 921725.

It can be written as a sum of positive squares in 3 ways, for example, as 988036 + 51724864 = 994^2 + 7192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52712900.

It is not an unprimeable number, because it can be changed into a prime (52712909) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 263465 + ... + 263664.

It is an arithmetic number, because the mean of its divisors is an integer number (6354845).

Almost surely, 252712900 is an apocalyptic number.

52712900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52712900 is an abundant number, since it is smaller than the sum of its proper divisors (61674310).

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

52712900 is a wasteful number, since it uses less digits than its factorization.

52712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527143 (or 527136 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 52712900 is about 7260.3650045986. The cubic root of 52712900 is about 374.9490893849.

The spelling of 52712900 in words is "fifty-two million, seven hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 527129 1054258 2108516 2635645 5271290 10542580 13178225 26356450 52712900