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68637008 = 24114293
BaseRepresentation
bin1000001011101…
…01000101010000
311210011010021102
410011311011100
5120032341013
610451043532
71462255616
oct405650520
9153133242
1068637008
1135820000
121aba05a8
13112b231b
1491896b6
15605bd58
hex4175150

68637008 has 50 divisors (see below), whose sum is σ = 146780970. Its totient is φ = 31092160.

The previous prime is 68636977. The next prime is 68637029. The reversal of 68637008 is 80073686.

It can be written as a sum of positive squares in only one way, i.e., 67699984 + 937024 = 8228^2 + 968^2 .

It is a super-2 number, since 2×686370082 = 9422077734384128, 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 9 ways as a sum of consecutive naturals, for example, 234110 + ... + 234402.

Almost surely, 268637008 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 68637008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73390485).

68637008 is an abundant number, since it is smaller than the sum of its proper divisors (78143962).

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

68637008 is an equidigital number, since it uses as much as digits as its factorization.

68637008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 68637008 is about 8284.7455000139. The cubic root of 68637008 is about 409.4360837546.

The spelling of 68637008 in words is "sixty-eight million, six hundred thirty-seven thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 293 484 586 968 1172 1331 1936 2344 2662 3223 4688 5324 6446 10648 12892 14641 21296 25784 29282 35453 51568 58564 70906 117128 141812 234256 283624 389983 567248 779966 1559932 3119864 4289813 6239728 8579626 17159252 34318504 68637008