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253683675 = 325272347149
BaseRepresentation
bin11110001111011…
…10011111011011
3122200100110120200
433013232133123
51004420334200
641101153243
76200163360
oct1707563733
9580313520
10253683675
1112021a333
1270b5b823
13407322ab
1425998467
1517410800
hexf1ee7db

253683675 has 144 divisors (see below), whose sum is σ = 557107200. Its totient is φ = 107838720.

The previous prime is 253683667. The next prime is 253683679. The reversal of 253683675 is 576386352.

It is not a de Polignac number, because 253683675 - 23 = 253683667 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253683675.

It is not an unprimeable number, because it can be changed into a prime (253683679) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1702501 + ... + 1702649.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2253683675 is an apocalyptic number.

253683675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253683675 is an abundant number, since it is smaller than the sum of its proper divisors (303423525).

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

253683675 is a wasteful number, since it uses less digits than its factorization.

253683675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 253683675 is about 15927.4503609335. The cubic root of 253683675 is about 633.0395444101.

The spelling of 253683675 in words is "two hundred fifty-three million, six hundred eighty-three thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 47 63 69 75 105 115 141 149 161 175 207 225 235 315 329 345 423 447 483 525 575 705 745 805 987 1035 1043 1081 1175 1341 1449 1575 1645 1725 2115 2235 2415 2961 3129 3243 3427 3525 3725 4025 4935 5175 5215 5405 6705 7003 7245 7567 8225 9387 9729 10281 10575 11175 12075 14805 15645 16215 17135 21009 22701 23989 24675 26075 27025 30843 33525 35015 36225 37835 46935 48645 49021 51405 63027 68103 71967 74025 78225 81075 85675 105045 113505 119945 147063 154215 161069 175075 189175 215901 234675 243225 245105 257025 315135 340515 359835 441189 483207 525225 567525 599725 735315 771075 805345 1079505 1127483 1225525 1449621 1575675 1702575 1799175 2205945 2416035 3382449 3676575 4026725 5397525 5637415 7248105 10147347 11029725 12080175 16912245 28187075 36240525 50736735 84561225 253683675