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252499640 = 23517449827
BaseRepresentation
bin11110000110011…
…01011010111000
3122121010022101112
433003031122320
51004114442030
641015535452
76154132361
oct1703153270
9577108345
10252499640
1111a590798
127068a588
1340409393
142576ab68
1517279a95
hexf0cd6b8

252499640 has 64 divisors (see below), whose sum is σ = 603612000. Its totient is φ = 94732288.

The previous prime is 252499613. The next prime is 252499661. The reversal of 252499640 is 46994252.

It is a happy number.

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, 304907 + ... + 305733.

Almost surely, 2252499640 is an apocalyptic number.

252499640 is a gapful number since it is divisible by the number (20) 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 252499640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301806000).

252499640 is an abundant number, since it is smaller than the sum of its proper divisors (351112360).

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

252499640 is a wasteful number, since it uses less digits than its factorization.

252499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 252499640 is about 15890.2372543647. The cubic root of 252499640 is about 632.0531320497.

The spelling of 252499640 in words is "two hundred fifty-two million, four hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 449 680 827 898 1654 1796 2245 3308 3592 4135 4490 6616 7633 8270 8980 14059 15266 16540 17960 28118 30532 33080 38165 56236 61064 70295 76330 112472 140590 152660 281180 305320 371323 562360 742646 1485292 1856615 2970584 3713230 6312491 7426460 12624982 14852920 25249964 31562455 50499928 63124910 126249820 252499640