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253350152 = 231123414371
BaseRepresentation
bin11110001100111…
…01000100001000
3122122201112001222
433012131010020
51004324201102
641050101212
76164304116
oct1706350410
9578645058
10253350152
111200117a0
1270a1a808
1340646543
142590cab6
1517396aa2
hexf19d108

253350152 has 128 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 103488000.

The previous prime is 253350107. The next prime is 253350173. The reversal of 253350152 is 251053352.

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, 3568277 + ... + 3568347.

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

Almost surely, 2253350152 is an apocalyptic number.

253350152 is a gapful number since it is divisible by the number (22) 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 253350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

253350152 is an abundant number, since it is smaller than the sum of its proper divisors (321451768).

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

253350152 is a wasteful number, since it uses less digits than its factorization.

253350152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 253350152 is about 15916.9768486355. The cubic root of 253350152 is about 632.7619994943.

The spelling of 253350152 in words is "two hundred fifty-three million, three hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 41 43 44 46 71 82 86 88 92 142 164 172 184 253 284 328 344 451 473 506 568 781 902 943 946 989 1012 1562 1633 1763 1804 1886 1892 1978 2024 2911 3053 3124 3266 3526 3608 3772 3784 3956 5822 6106 6248 6532 7052 7544 7912 10373 10879 11644 12212 13064 14104 17963 19393 20746 21758 23288 24424 32021 33583 35926 38786 40549 41492 43516 64042 66953 67166 70219 71852 77572 81098 82984 87032 125173 128084 133906 134332 140438 143704 155144 162196 250346 256168 267812 268664 280876 324392 446039 500692 535624 561752 736483 772409 892078 1001384 1376903 1472966 1544818 1784156 2753806 2878979 2945932 3089636 3568312 5507612 5757958 5891864 6179272 11015224 11515916 23031832 31668769 63337538 126675076 253350152