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57836025 = 3452134
BaseRepresentation
bin1101110010100…
…0000111111001
311000211101010000
43130220013321
5104301223100
65423343213
71301412102
oct334500771
9130741100
1057836025
112a713075
1217451b09
13bca0000
1479773a9
155126900
hex37281f9

57836025 has 75 divisors (see below), whose sum is σ = 116059691. Its totient is φ = 28473120.

The previous prime is 57836003. The next prime is 57836029. The reversal of 57836025 is 52063875.

The square root of 57836025 is 7605.

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

57836025 is a `hidden beast` number, since 578 + 3 + 60 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 56746089 + 1089936 = 7533^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 57836025 - 25 = 57835993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57836029) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4448919 + ... + 4448931.

Almost surely, 257836025 is an apocalyptic number.

57836025 is the 7605-th square number.

57836025 is the 3803-rd centered octagonal number.

It is an amenable number.

57836025 is an abundant number, since it is smaller than the sum of its proper divisors (58223666).

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

57836025 is an frugal number, since it uses more digits than its factorization.

57836025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 57836025 is about 386.7225341228.

Multiplying 57836025 by its sum of digits (36), we get a square (2082096900 = 456302).

The spelling of 57836025 in words is "fifty-seven million, eight hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 845 975 1053 1521 1755 2025 2197 2535 2925 4225 4563 5265 6591 7605 8775 10985 12675 13689 19773 22815 26325 28561 32955 38025 54925 59319 68445 85683 98865 114075 142805 164775 177957 257049 296595 342225 428415 494325 714025 771147 889785 1285245 1482975 2142075 2313441 3855735 4448925 6426225 11567205 19278675 57836025