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59213025 = 3852192
BaseRepresentation
bin1110000111100…
…0010011100001
311010102100000000
43201320103201
5110124304100
65513050213
71316205504
oct341702341
9133370000
1059213025
1130473693
12179b6969
13c3629c1
147c1513b
1552e9900
hex38784e1

59213025 has 81 divisors (see below), whose sum is σ = 116232051. Its totient is φ = 29918160.

The previous prime is 59213003. The next prime is 59213029. The reversal of 59213025 is 52031295.

The square root of 59213025 is 7695.

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

It can be written as a sum of positive squares in only one way, i.e., 21316689 + 37896336 = 4617^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 59213025 - 215 = 59180257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 59213025.

It is not an unprimeable number, because it can be changed into a prime (59213029) 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, 3116466 + ... + 3116484.

Almost surely, 259213025 is an apocalyptic number.

59213025 is the 7695-th square number.

59213025 is the 3848-th centered octagonal number.

It is an amenable number.

59213025 is a deficient number, since it is larger than the sum of its proper divisors (57019026).

59213025 is an frugal number, since it uses more digits than its factorization.

59213025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 59213025 is about 389.7676130358.

The spelling of 59213025 in words is "fifty-nine million, two hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 243 285 361 405 475 513 675 729 855 1083 1215 1425 1539 1805 2025 2187 2565 3249 3645 4275 4617 5415 6075 6561 7695 9025 9747 10935 12825 13851 16245 18225 23085 27075 29241 32805 38475 41553 48735 54675 69255 81225 87723 115425 124659 146205 164025 207765 243675 263169 346275 438615 623295 731025 789507 1038825 1315845 2193075 2368521 3116475 3947535 6579225 11842605 19737675 59213025