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252939360 = 2535526957
BaseRepresentation
bin11110001001110…
…00110001100000
3122121221122120110
433010320301200
51004223024420
641033211320
76160643352
oct1704706140
9577848513
10252939360
1111a8610a3
1270860b40
134053157b
14258430d2
1517314ee0
hexf138c60

252939360 has 48 divisors (see below), whose sum is σ = 796760496. Its totient is φ = 67450368.

The previous prime is 252939359. The next prime is 252939391. The reversal of 252939360 is 63939252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262999 + ... + 263958.

It is an arithmetic number, because the mean of its divisors is an integer number (16599177).

Almost surely, 2252939360 is an apocalyptic number.

252939360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252939360 is an abundant number, since it is smaller than the sum of its proper divisors (543821136).

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

252939360 is a wasteful number, since it uses less digits than its factorization.

252939360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526975 (or 526967 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 252939360 is about 15904.0674042837. The cubic root of 252939360 is about 632.4198193392.

The spelling of 252939360 in words is "two hundred fifty-two million, nine hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 526957 1053914 1580871 2107828 2634785 3161742 4215656 5269570 6323484 7904355 8431312 10539140 12646968 15808710 16862624 21078280 25293936 31617420 42156560 50587872 63234840 84313120 126469680 252939360