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58752225 = 325272732
BaseRepresentation
bin1110000000011…
…1110011100001
311002112220220100
43200013303201
5110020032400
65455133013
71312246200
oct340076341
9132486810
1058752225
1130189464
1217814169
13c23103c
147b35237
155258100
hex3807ce1

58752225 has 81 divisors (see below), whose sum is σ = 124112313. Its totient is φ = 26490240.

The previous prime is 58752191. The next prime is 58752229. The reversal of 58752225 is 52225785.

The square root of 58752225 is 7665.

It is a perfect power (a square), and thus also a powerful number.

58752225 is a `hidden beast` number, since 587 + 52 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321489 + 58430736 = 567^2 + 7644^2 .

It is not a de Polignac number, because 58752225 - 213 = 58744033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58752225.

It is not an unprimeable number, because it can be changed into a prime (58752229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 804789 + ... + 804861.

Almost surely, 258752225 is an apocalyptic number.

58752225 is the 7665-th square number.

58752225 is the 3833-rd centered octagonal number.

It is an amenable number.

58752225 is an abundant number, since it is smaller than the sum of its proper divisors (65360088).

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

58752225 is a wasteful number, since it uses less digits than its factorization.

58752225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The cubic root of 58752225 is about 388.7539124167.

Multiplying 58752225 by its sum of digits (36), we get a square (2115080100 = 459902).

It can be divided in two parts, 5875 and 2225, that added together give a square (8100 = 902).

The spelling of 58752225 in words is "fifty-eight million, seven hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 73 75 105 147 175 219 225 245 315 365 441 511 525 657 735 1095 1225 1533 1575 1825 2205 2555 3285 3577 3675 4599 5329 5475 7665 10731 11025 12775 15987 16425 17885 22995 26645 32193 37303 38325 47961 53655 79935 89425 111909 114975 133225 160965 186515 239805 261121 268275 335727 399675 559545 783363 804825 932575 1199025 1305605 1678635 2350089 2797725 3916815 6528025 8393175 11750445 19584075 58752225