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253251312 = 24317310357
BaseRepresentation
bin11110001100001…
…00111011110000
3122122112111111020
433012010323300
51004313020222
641044015440
76163413006
oct1706047360
9578474436
10253251312
1111aa54506
1270991580
1340610562
14258c4a76
151737765c
hexf184ef0

253251312 has 40 divisors (see below), whose sum is σ = 692719056. Its totient is φ = 79451136.

The previous prime is 253251289. The next prime is 253251373. The reversal of 253251312 is 213152352.

It is a happy number.

253251312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154363 + ... + 155994.

Almost surely, 2253251312 is an apocalyptic number.

It is an amenable number.

253251312 is an abundant number, since it is smaller than the sum of its proper divisors (439467744).

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

253251312 is a wasteful number, since it uses less digits than its factorization.

253251312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310385 (or 310379 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 253251312 is about 15913.8716847912. The cubic root of 253251312 is about 632.6797018908.

The spelling of 253251312 in words is "two hundred fifty-three million, two hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 310357 620714 931071 1241428 1862142 2482856 3724284 4965712 5276069 7448568 10552138 14897136 15828207 21104276 31656414 42208552 63312828 84417104 126625656 253251312