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7268625 = 325371371
BaseRepresentation
bin11011101110100100010001
3111200021200100
4123232210101
53330044000
6415443013
7115532220
oct33564421
914607610
107268625
114115031
122526469
131676580
14d72cb7
15988a00
hex6ee911

7268625 has 96 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 3024000.

The previous prime is 7268593. The next prime is 7268633. The reversal of 7268625 is 5268627.

7268625 is a `hidden beast` number, since 7 + 26 + 8 + 625 = 666.

It is not a de Polignac number, because 7268625 - 25 = 7268593 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (112).

It is a Curzon number.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 7268625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102340 + ... + 102410.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 27268625 is an apocalyptic number.

7268625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7268625 is an abundant number, since it is smaller than the sum of its proper divisors (9085167).

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

7268625 is a wasteful number, since it uses less digits than its factorization.

7268625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 7268625 is about 2696.0387608490. The cubic root of 7268625 is about 193.7094261206.

The spelling of 7268625 in words is "seven million, two hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 71 75 91 105 117 125 175 195 213 225 273 315 325 355 375 455 497 525 585 639 819 875 923 975 1065 1125 1365 1491 1575 1625 1775 2275 2485 2625 2769 2925 3195 4095 4473 4615 4875 5325 6461 6825 7455 7875 8307 8875 11375 12425 13845 14625 15975 19383 20475 22365 23075 26625 32305 34125 37275 41535 58149 62125 69225 79875 96915 102375 111825 115375 161525 186375 207675 290745 346125 484575 559125 807625 1038375 1453725 2422875 7268625