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253251460 = 225711164449
BaseRepresentation
bin11110001100001…
…00111110000100
3122122112111200201
433012010332010
51004313021320
641044020244
76163413310
oct1706047604
9578474621
10253251460
1111aa54630
1270991684
1340610647
14258c4b40
151737770a
hexf184f84

253251460 has 48 divisors (see below), whose sum is σ = 663062400. Its totient is φ = 78935040.

The previous prime is 253251451. The next prime is 253251517. The reversal of 253251460 is 64152352.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80685 + ... + 83764.

It is an arithmetic number, because the mean of its divisors is an integer number (13813800).

Almost surely, 2253251460 is an apocalyptic number.

253251460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253251460 is an abundant number, since it is smaller than the sum of its proper divisors (409810940).

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

253251460 is a wasteful number, since it uses less digits than its factorization.

253251460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164476 (or 164474 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 253251460 is about 15913.8763348218. The cubic root of 253251460 is about 632.6798251367.

The spelling of 253251460 in words is "two hundred fifty-three million, two hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 164449 328898 657796 822245 1151143 1644490 1808939 2302286 3288980 3617878 4604572 5755715 7235756 9044695 11511430 12662573 18089390 23022860 25325146 36178780 50650292 63312865 126625730 253251460