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252824088 = 233112933023
BaseRepresentation
bin11110001000111…
…00101000011000
3122121201210110010
433010130220120
51004210332323
641030521520
76156653316
oct1704345030
9577653403
10252824088
1111a792530
12708062a0
13404c0c6a
14258130b6
15172e0c93
hexf11ca18

252824088 has 64 divisors (see below), whose sum is σ = 713318400. Its totient is φ = 73969280.

The previous prime is 252824069. The next prime is 252824101. The reversal of 252824088 is 880428252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8856 + ... + 24167.

It is an arithmetic number, because the mean of its divisors is an integer number (11145600).

Almost surely, 2252824088 is an apocalyptic number.

It is an amenable number.

252824088 is an abundant number, since it is smaller than the sum of its proper divisors (460494312).

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

252824088 is a wasteful number, since it uses less digits than its factorization.

252824088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33072 (or 33068 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 252824088 is about 15900.4430126962. The cubic root of 252824088 is about 632.3237338921.

The spelling of 252824088 in words is "two hundred fifty-two million, eight hundred twenty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 33023 66046 99069 132092 198138 264184 363253 396276 726506 792552 957667 1089759 1453012 1915334 2179518 2873001 2906024 3830668 4359036 5746002 7661336 8718072 10534337 11492004 21068674 22984008 31603011 42137348 63206022 84274696 126412044 252824088