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252377608 = 237191931229
BaseRepresentation
bin11110000101011…
…11101000001000
3122120220002222211
433002233220020
51004102040413
641013154504
76153113530
oct1702575010
9576802884
10252377608
1111a50803a
127062ba34
1340395982
14257384c0
151725383d
hexf0afa08

252377608 has 64 divisors (see below), whose sum is σ = 572688000. Its totient is φ = 101855232.

The previous prime is 252377599. The next prime is 252377623. The reversal of 252377608 is 806773252.

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 15 ways as a sum of consecutive naturals, for example, 204738 + ... + 205966.

It is an arithmetic number, because the mean of its divisors is an integer number (8948250).

Almost surely, 2252377608 is an apocalyptic number.

252377608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252377608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286344000).

252377608 is an abundant number, since it is smaller than the sum of its proper divisors (320310392).

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

252377608 is a wasteful number, since it uses less digits than its factorization.

252377608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 252377608 is about 15886.3969483329. The cubic root of 252377608 is about 631.9512927800.

The spelling of 252377608 in words is "two hundred fifty-two million, three hundred seventy-seven thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 193 266 386 532 772 1064 1229 1351 1544 2458 2702 3667 4916 5404 7334 8603 9832 10808 14668 17206 23351 25669 29336 34412 46702 51338 68824 93404 102676 163457 186808 205352 237197 326914 474394 653828 948788 1307656 1660379 1897576 3320758 4506743 6641516 9013486 13283032 18026972 31547201 36053944 63094402 126188804 252377608