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253376256 = 283726733
BaseRepresentation
bin11110001101000…
…11011100000000
3122122202211212210
433012203130000
51004331020011
641050422120
76164443200
oct1706433400
9578684783
10253376256
1112002a371
1270a31940
13406553a3
1425918400
151739e6a6
hexf1a3700

253376256 has 108 divisors (see below), whose sum is σ = 784564872. Its totient is φ = 72382464.

The previous prime is 253376251. The next prime is 253376273. The reversal of 253376256 is 652673352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253376251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34266 + ... + 40998.

Almost surely, 2253376256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253376256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392282436).

253376256 is an abundant number, since it is smaller than the sum of its proper divisors (531188616).

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

253376256 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (253376257) it forms an eRAP, since the sums of their prime factors are consecutive (6766 and 6767).

253376256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6745 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 253376256 is about 15917.7968324765. The cubic root of 253376256 is about 632.7837310146.

The spelling of 253376256 in words is "two hundred fifty-three million, three hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 6733 9408 12544 13466 18816 20199 26932 37632 40398 47131 53864 80796 94262 107728 141393 161592 188524 215456 282786 323184 329917 377048 430912 565572 646368 659834 754096 861824 989751 1131144 1292736 1319668 1508192 1723648 1979502 2262288 2585472 2639336 3016384 3959004 4524576 5170944 5278672 6032768 7918008 9049152 10557344 12065536 15836016 18098304 21114688 31672032 36196608 42229376 63344064 84458752 126688128 253376256