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252788607 = 3423472887
BaseRepresentation
bin11110001000100…
…11111101111111
3122121122222210000
433010103331333
51004203213412
641030045343
76156445011
oct1704237577
9577588700
10252788607
1111a768905
12707a9853
13404aaa76
14258041b1
15172d54dc
hexf113f7f

252788607 has 40 divisors (see below), whose sum is σ = 402564096. Its totient is φ = 157714128.

The previous prime is 252788603. The next prime is 252788609. The reversal of 252788607 is 706887252.

It is not a de Polignac number, because 252788607 - 22 = 252788603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252788603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86118 + ... + 89004.

Almost surely, 2252788607 is an apocalyptic number.

252788607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

252788607 is a deficient number, since it is larger than the sum of its proper divisors (149775489).

252788607 is a wasteful number, since it uses less digits than its factorization.

252788607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 252788607 is about 15899.3272499185. The cubic root of 252788607 is about 632.2941526812.

The spelling of 252788607 in words is "two hundred fifty-two million, seven hundred eighty-eight thousand, six hundred seven".

Divisors: 1 3 9 23 27 47 69 81 141 207 423 621 1081 1269 1863 2887 3243 3807 8661 9729 25983 29187 66401 77949 87561 135689 199203 233847 407067 597609 1221201 1792827 3120847 3663603 5378481 9362541 10990809 28087623 84262869 252788607