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252383508 = 2232132323447
BaseRepresentation
bin11110000101100…
…01000100010100
3122120220102002100
433002301010110
51004102233013
641013242100
76153136656
oct1702610424
9576812070
10252383508
1111a511513
1270633330
1340398570
142573a6d6
1517255473
hexf0b1114

252383508 has 72 divisors (see below), whose sum is σ = 716946048. Its totient is φ = 74276928.

The previous prime is 252383507. The next prime is 252383539. The reversal of 252383508 is 805383252.

252383508 is a `hidden beast` number, since 2 + 523 + 83 + 50 + 8 = 666.

It is a super-2 number, since 2×2523835082 = 127394870220772128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252383507) 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 23 ways as a sum of consecutive naturals, for example, 960 + ... + 22487.

It is an arithmetic number, because the mean of its divisors is an integer number (9957584).

Almost surely, 2252383508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252383508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358473024).

252383508 is an abundant number, since it is smaller than the sum of its proper divisors (464562540).

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

252383508 is a wasteful number, since it uses less digits than its factorization.

252383508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493 (or 23488 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 252383508 is about 15886.5826407066. The cubic root of 252383508 is about 631.9562172575.

The spelling of 252383508 in words is "two hundred fifty-two million, three hundred eighty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 23447 46894 70341 93788 140682 211023 281364 304811 422046 539281 609622 844092 914433 1078562 1219244 1617843 1828866 2157124 2743299 3235686 3657732 4853529 5486598 6471372 7010653 9707058 10973196 14021306 19414116 21031959 28042612 42063918 63095877 84127836 126191754 252383508