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253154352 = 243111134243
BaseRepresentation
bin11110001011011…
…01010000110000
3122122100120111010
433011231100300
51004301414402
641041550520
76162530223
oct1705552060
9578316433
10253154352
1111a998680
1270945440
13405a8399
142589b5ba
1517358a6c
hexf16d430

253154352 has 80 divisors (see below), whose sum is σ = 719918208. Its totient is φ = 76016640.

The previous prime is 253154329. The next prime is 253154357. The reversal of 253154352 is 253451352.

It is not an unprimeable number, because it can be changed into a prime (253154357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57543 + ... + 61785.

Almost surely, 2253154352 is an apocalyptic number.

253154352 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 253154352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359959104).

253154352 is an abundant number, since it is smaller than the sum of its proper divisors (466763856).

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

253154352 is a wasteful number, since it uses less digits than its factorization.

253154352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4372 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 253154352 is about 15910.8249943238. The cubic root of 253154352 is about 632.5989488319.

The spelling of 253154352 in words is "two hundred fifty-three million, one hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 113 132 176 226 264 339 452 528 678 904 1243 1356 1808 2486 2712 3729 4243 4972 5424 7458 8486 9944 12729 14916 16972 19888 25458 29832 33944 46673 50916 59664 67888 93346 101832 140019 186692 203664 280038 373384 479459 560076 746768 958918 1120152 1438377 1917836 2240304 2876754 3835672 5274049 5753508 7671344 10548098 11507016 15822147 21096196 23014032 31644294 42192392 63288588 84384784 126577176 253154352