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253692088 = 231317434771
BaseRepresentation
bin11110001111100…
…00100010111000
3122200100220010021
433013300202320
51004421121323
641101300224
76200230036
oct1707604270
9580326107
10253692088
11120225691
1270b64674
1340736080
142599b556
151741305d
hexf1f08b8

253692088 has 128 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 103864320.

The previous prime is 253692077. The next prime is 253692157. The reversal of 253692088 is 880296352.

253692088 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 (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3573093 + ... + 3573163.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2253692088 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 253692088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

253692088 is an abundant number, since it is smaller than the sum of its proper divisors (321109832).

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

253692088 is a wasteful number, since it uses less digits than its factorization.

253692088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 253692088 is about 15927.7144625335. The cubic root of 253692088 is about 633.0465422363.

The spelling of 253692088 in words is "two hundred fifty-three million, six hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 4 8 13 17 26 34 43 47 52 68 71 86 94 104 136 142 172 188 221 284 344 376 442 559 568 611 731 799 884 923 1118 1207 1222 1462 1598 1768 1846 2021 2236 2414 2444 2924 3053 3196 3337 3692 4042 4472 4828 4888 5848 6106 6392 6674 7384 8084 9503 9656 10387 12212 13348 15691 16168 19006 20774 24424 26273 26696 31382 34357 38012 39689 41548 43381 51901 52546 56729 62764 68714 76024 79378 83096 86762 103802 105092 113458 125528 137428 143491 158756 173524 207604 210184 226916 274856 286982 317512 347048 415208 446641 453832 573964 674713 737477 893282 1147928 1349426 1474954 1786564 1865383 2439347 2698852 2949908 3573128 3730766 4878694 5397704 5899816 7461532 9757388 14923064 19514776 31711511 63423022 126846044 253692088