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253610082 = 233111093917
BaseRepresentation
bin11110001110111…
…00100001100010
3122200012201122000
433013130201202
51004411010312
641055424430
76166435665
oct1707344142
9580181560
10253610082
1112017a010
1270b25116
134070794b
14259796dc
15173e8adc
hexf1dc862

253610082 has 64 divisors (see below), whose sum is σ = 620611200. Its totient is φ = 76127040.

The previous prime is 253610059. The next prime is 253610171. The reversal of 253610082 is 280016352.

253610082 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 (27).

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, 62788 + ... + 66704.

It is an arithmetic number, because the mean of its divisors is an integer number (9697050).

Almost surely, 2253610082 is an apocalyptic number.

253610082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253610082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310305600).

253610082 is an abundant number, since it is smaller than the sum of its proper divisors (367001118).

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

253610082 is a wasteful number, since it uses less digits than its factorization.

253610082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253610082 is about 15925.1399365908. The cubic root of 253610082 is about 632.9783240932.

The spelling of 253610082 in words is "two hundred fifty-three million, six hundred ten thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2398 2943 3597 3917 5886 7194 7834 10791 11751 21582 23502 32373 35253 43087 64746 70506 86174 105759 129261 211518 258522 387783 426953 775566 853906 1163349 1280859 2326698 2561718 3842577 4696483 7685154 9392966 11527731 14089449 23055462 28178898 42268347 84536694 126805041 253610082