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252929280 = 283565867
BaseRepresentation
bin11110001001101…
…10010100000000
3122121221010202010
433010312110000
51004222214110
641033052520
76160602102
oct1704662400
9577833663
10252929280
1111a85456a
1270857140
1340529ac6
142583d572
1517312020
hexf136500

252929280 has 72 divisors (see below), whose sum is σ = 807805152. Its totient is φ = 67446784.

The previous prime is 252929251. The next prime is 252929291. The reversal of 252929280 is 82929252.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29094 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (11219516).

Almost surely, 2252929280 is an apocalyptic number.

252929280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252929280 is an abundant number, since it is smaller than the sum of its proper divisors (554875872).

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

252929280 is an equidigital number, since it uses as much as digits as its factorization.

252929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65891 (or 65877 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 252929280 is about 15903.7505010611. The cubic root of 252929280 is about 632.4114182789.

The spelling of 252929280 in words is "two hundred fifty-two million, nine hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 65867 131734 197601 263468 329335 395202 526936 658670 790404 988005 1053872 1317340 1580808 1976010 2107744 2634680 3161616 3952020 4215488 5269360 6323232 7904040 8430976 10538720 12646464 15808080 16861952 21077440 25292928 31616160 42154880 50585856 63232320 84309760 126464640 252929280