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253468056 = 233193783181
BaseRepresentation
bin11110001101110…
…01110110011000
3122122221111210210
433012321312120
51004341434211
641052411120
76165304632
oct1706716630
9578844723
10253468056
11120092336
1270a76aa0
13406880ca
142593da52
15173bb9a6
hexf1b9d98

253468056 has 128 divisors (see below), whose sum is σ = 697132800. Its totient is φ = 76515840.

The previous prime is 253468051. The next prime is 253468069. The reversal of 253468056 is 650864352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253468051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400286 + ... + 1400466.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2253468056 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 253468056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

253468056 is an abundant number, since it is smaller than the sum of its proper divisors (443664744).

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

253468056 is a wasteful number, since it uses less digits than its factorization.

253468056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 253468056 is about 15920.6801362253. The cubic root of 253468056 is about 632.8601424530.

The spelling of 253468056 in words is "two hundred fifty-three million, four hundred sixty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 83 111 114 148 152 166 181 222 228 249 296 332 362 444 456 498 543 664 703 724 888 996 1086 1406 1448 1577 1992 2109 2172 2812 3071 3154 3439 4218 4344 4731 5624 6142 6308 6697 6878 8436 9213 9462 10317 12284 12616 13394 13756 15023 16872 18426 18924 20091 20634 24568 26788 27512 30046 36852 37848 40182 41268 45069 53576 58349 60092 73704 80364 82536 90138 116698 120184 127243 160728 175047 180276 233396 254486 285437 350094 360552 381729 466792 508972 555851 570874 700188 763458 856311 1017944 1111702 1141748 1400376 1526916 1667553 1712622 2223404 2283496 3053832 3335106 3425244 4446808 6670212 6850488 10561169 13340424 21122338 31683507 42244676 63367014 84489352 126734028 253468056