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68157152 = 257535741
BaseRepresentation
bin1000000111111…
…11111011100000
311202020202000222
410003333323200
5114422012102
610432502212
71455216620
oct403777340
9152222028
1068157152
1135522528
121a9aa968
1311174a9b
1490a2880
155eb4aa2
hex40ffee0

68157152 has 48 divisors (see below), whose sum is σ = 156274272. Its totient is φ = 28654080.

The previous prime is 68157149. The next prime is 68157223. The reversal of 68157152 is 25175186.

It is a super-2 number, since 2×681571522 = 9290794737502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9002 + ... + 14742.

It is an arithmetic number, because the mean of its divisors is an integer number (3255714).

Almost surely, 268157152 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 68157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78137136).

68157152 is an abundant number, since it is smaller than the sum of its proper divisors (88117120).

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

68157152 is a wasteful number, since it uses less digits than its factorization.

68157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5803 counting only the distinct ones).

The product of its digits is 16800, while the sum is 35.

The square root of 68157152 is about 8255.7344918547. The cubic root of 68157152 is about 408.4796997803.

The spelling of 68157152 in words is "sixty-eight million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5741 5936 11482 11872 22964 40187 45928 80374 91856 160748 183712 304273 321496 608546 642992 1217092 1285984 2129911 2434184 4259822 4868368 8519644 9736736 17039288 34078576 68157152