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253411928 = 237211173457
BaseRepresentation
bin11110001101011…
…00001001011000
3122122211122210222
433012230021120
51004333140203
641051255212
76164652200
oct1706541130
9578748728
10253411928
11120054150
1270a4a508
13406686b3
1425927400
15173aa038
hexf1ac258

253411928 has 96 divisors (see below), whose sum is σ = 638623440. Its totient is φ = 92897280.

The previous prime is 253411919. The next prime is 253411933. The reversal of 253411928 is 829114352.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 71576 + ... + 75032.

Almost surely, 2253411928 is an apocalyptic number.

253411928 is a gapful number since it is divisible by the number (28) 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 253411928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319311720).

253411928 is an abundant number, since it is smaller than the sum of its proper divisors (385211512).

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

253411928 is a wasteful number, since it uses less digits than its factorization.

253411928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3494 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 253411928 is about 15918.9172998668. The cubic root of 253411928 is about 632.8134254598.

The spelling of 253411928 in words is "two hundred fifty-three million, four hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 136 154 187 196 238 308 374 392 476 539 616 748 833 952 1078 1309 1496 1666 2156 2618 3332 3457 4312 5236 6664 6914 9163 10472 13828 18326 24199 27656 36652 38027 48398 58769 73304 76054 96796 117538 152108 169393 193592 235076 266189 304216 338786 411383 470152 532378 646459 677572 822766 1064756 1292918 1355144 1645532 1863323 2129512 2585836 2879681 3291064 3726646 4525213 5171672 5759362 7453292 9050426 11518724 14906584 18100852 23037448 31676491 36201704 63352982 126705964 253411928