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253948125 = 3541731257
BaseRepresentation
bin11110010001011…
…11000011011101
3122200211220100010
433020233003131
51010002320000
641110553433
76202344354
oct1710570335
9580756303
10253948125
1112038aa92
1271068879
13407c5782
1425a2699b
1517463d50
hexf22f0dd

253948125 has 80 divisors (see below), whose sum is σ = 464251392. Its totient is φ = 122880000.

The previous prime is 253948117. The next prime is 253948141. The reversal of 253948125 is 521849352.

It is not a de Polignac number, because 253948125 - 23 = 253948117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 987997 + ... + 988253.

Almost surely, 2253948125 is an apocalyptic number.

253948125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253948125 is a deficient number, since it is larger than the sum of its proper divisors (210303267).

253948125 is a wasteful number, since it uses less digits than its factorization.

253948125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 253948125 is about 15935.7499039110. The cubic root of 253948125 is about 633.2594365920.

The spelling of 253948125 in words is "two hundred fifty-three million, nine hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 31 51 75 85 93 125 155 255 257 375 425 465 527 625 771 775 1275 1285 1581 1875 2125 2325 2635 3855 3875 4369 6375 6425 7905 7967 10625 11625 13107 13175 19275 19375 21845 23901 31875 32125 39525 39835 58125 65535 65875 96375 109225 119505 135439 160625 197625 199175 327675 329375 406317 481875 546125 597525 677195 988125 995875 1638375 2031585 2730625 2987625 3385975 4979375 8191875 10157925 14938125 16929875 50789625 84649375 253948125