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870545025 = 3252722812
BaseRepresentation
bin110011111000110…
…111011010000001
32020200002021021100
4303320313122001
53240324420100
6222214445013
730400340100
oct6370673201
92220067240
10870545025
114074443a9
12203663769
1310b4827cc
1483890037
155165e400
hex33e37681

870545025 has 81 divisors (see below), whose sum is σ = 1820290953. Its totient is φ = 396547200.

The previous prime is 870545023. The next prime is 870545029. The reversal of 870545025 is 520545078.

It is a happy number.

The square root of 870545025 is 29505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1238769 + 869306256 = 1113^2 + 29484^2 .

It is not a de Polignac number, because 870545025 - 21 = 870545023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (870545023) 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, 3097885 + ... + 3098165.

Almost surely, 2870545025 is an apocalyptic number.

870545025 is the 29505-th square number.

870545025 is the 14753-rd centered octagonal number.

It is an amenable number.

870545025 is an abundant number, since it is smaller than the sum of its proper divisors (949745928).

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

870545025 is a wasteful number, since it uses less digits than its factorization.

870545025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

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

The cubic root of 870545025 is about 954.8395790589.

Multiplying 870545025 by its sum of digits (36), we get a square (31339620900 = 1770302).

The spelling of 870545025 in words is "eight hundred seventy million, five hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 281 315 441 525 735 843 1225 1405 1575 1967 2205 2529 3675 4215 5901 7025 9835 11025 12645 13769 17703 21075 29505 41307 49175 63225 68845 78961 88515 123921 147525 206535 236883 344225 394805 442575 552727 619605 710649 1032675 1184415 1658181 1974025 2763635 3098025 3553245 3869089 4974543 5922075 8290905 11607267 13818175 17766225 19345445 24872715 34821801 41454525 58036335 96727225 124363575 174109005 290181675 870545025