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151905625 = 54172292
BaseRepresentation
bin10010000110111…
…10010101011001
3101120211121100021
421003132111121
5302341440000
623023510441
73523114354
oct1103362531
9346747307
10151905625
1178823a43
1242a58421
13256183b1
141626329b
15d50911a
hex90de559

151905625 has 45 divisors (see below), whose sum is σ = 208837057. Its totient is φ = 110432000.

The previous prime is 151905619. The next prime is 151905631. The reversal of 151905625 is 526509151.

The square root of 151905625 is 12325.

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

151905625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151905619) and next prime (151905631).

It can be written as a sum of positive squares in 22 ways, for example, as 151708489 + 197136 = 12317^2 + 444^2 .

It is not a de Polignac number, because 151905625 - 29 = 151905113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5238111 + ... + 5238139.

Almost surely, 2151905625 is an apocalyptic number.

151905625 is the 12325-th square number.

151905625 is the 6163-rd centered octagonal number.

It is an amenable number.

151905625 is a deficient number, since it is larger than the sum of its proper divisors (56931432).

151905625 is an frugal number, since it uses more digits than its factorization.

151905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The cubic root of 151905625 is about 533.5698549448.

The spelling of 151905625 in words is "one hundred fifty-one million, nine hundred five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 29 85 125 145 289 425 493 625 725 841 1445 2125 2465 3625 4205 7225 8381 10625 12325 14297 18125 21025 36125 41905 61625 71485 105125 180625 209525 243049 308125 357425 525625 1047625 1215245 1787125 5238125 6076225 8935625 30381125 151905625