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252876960 = 25325725087
BaseRepresentation
bin11110001001010…
…01100010100000
3122121211110222100
433010221202200
51004214030320
641032010400
76160263420
oct1704514240
9577743870
10252876960
1111a819226
1270830a00
134050c04b
1425828480
1517301790
hexf1298a0

252876960 has 144 divisors (see below), whose sum is σ = 986259456. Its totient is φ = 57798144.

The previous prime is 252876941. The next prime is 252876979. The reversal of 252876960 is 69678252.

252876960 is a `hidden beast` number, since 2 + 528 + 7 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (252876941) and next prime (252876979).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2464 + ... + 22623.

It is an arithmetic number, because the mean of its divisors is an integer number (6849024).

Almost surely, 2252876960 is an apocalyptic number.

252876960 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 252876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

252876960 is an abundant number, since it is smaller than the sum of its proper divisors (733382496).

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

252876960 is a wasteful number, since it uses less digits than its factorization.

252876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25104 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 252876960 is about 15902.1055209680. The cubic root of 252876960 is about 632.3678091890.

The spelling of 252876960 in words is "two hundred fifty-two million, eight hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 25087 50174 75261 100348 125435 150522 175609 200696 225783 250870 301044 351218 376305 401392 451566 501740 526827 602088 702436 752610 802784 878045 903132 1003480 1053654 1128915 1204176 1404872 1505220 1580481 1756090 1806264 2006960 2107308 2257830 2408352 2634135 2809744 3010440 3160962 3512180 3612528 4013920 4214616 4515660 5268270 5619488 6020880 6321924 7024360 7225056 7902405 8429232 9031320 10536540 12041760 12643848 14048720 15804810 16858464 18062640 21073080 25287696 28097440 31609620 36125280 42146160 50575392 63219240 84292320 126438480 252876960