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252809712 = 24323156633
BaseRepresentation
bin11110001000110…
…01000111110000
3122121201001201200
433010121013300
51004204402322
641030331200
76156563361
oct1704310760
9577631650
10252809712
1111a782751
12707b9b00
13404b755c
142580bb68
15172db8ac
hexf1191f0

252809712 has 60 divisors (see below), whose sum is σ = 730352064. Its totient is φ = 81550080.

The previous prime is 252809707. The next prime is 252809729. The reversal of 252809712 is 217908252.

252809712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23853 + ... + 32780.

Almost surely, 2252809712 is an apocalyptic number.

It is an amenable number.

252809712 is an abundant number, since it is smaller than the sum of its proper divisors (477542352).

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

252809712 is a wasteful number, since it uses less digits than its factorization.

252809712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56678 (or 56669 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 252809712 is about 15899.9909433936. The cubic root of 252809712 is about 632.3117486703.

The spelling of 252809712 in words is "two hundred fifty-two million, eight hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 56633 113266 169899 226532 339798 453064 509697 679596 906128 1019394 1359192 1755623 2038788 2718384 3511246 4077576 5266869 7022492 8155152 10533738 14044984 15800607 21067476 28089968 31601214 42134952 63202428 84269904 126404856 252809712