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117556425 = 32527101739
BaseRepresentation
bin1110000000111…
…00010011001001
322012012111002200
413000130103021
5220043301200
615355350413
72625133050
oct700342311
9265174080
10117556425
11603a2978
1233452409
131b47c91c
1411881397
15a4c1800
hex701c4c9

117556425 has 72 divisors (see below), whose sum is σ = 243347520. Its totient is φ = 53136000.

The previous prime is 117556409. The next prime is 117556429. The reversal of 117556425 is 524655711.

117556425 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 5 + 642 + 5 = 666.

It is not a de Polignac number, because 117556425 - 24 = 117556409 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 117556425.

It is not an unprimeable number, because it can be changed into a prime (117556429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158706 + ... + 159444.

Almost surely, 2117556425 is an apocalyptic number.

117556425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117556425 is an abundant number, since it is smaller than the sum of its proper divisors (125791095).

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

117556425 is a wasteful number, since it uses less digits than its factorization.

117556425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 117556425 is about 10842.3440731237. The cubic root of 117556425 is about 489.8714434371.

It can be divided in two parts, 1175 and 56425, that added together give a square (57600 = 2402).

The spelling of 117556425 in words is "one hundred seventeen million, five hundred fifty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 101 105 175 225 303 315 505 525 707 739 909 1515 1575 2121 2217 2525 3535 3695 4545 5173 6363 6651 7575 10605 11085 15519 17675 18475 22725 25865 31815 33255 46557 53025 55425 74639 77595 129325 159075 166275 223917 232785 373195 387975 522473 671751 1119585 1163925 1567419 1865975 2612365 3358755 4702257 5597925 7837095 13061825 16793775 23511285 39185475 117556425