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68032008 = 233311219137
BaseRepresentation
bin1000000111000…
…01011000001000
311202000101101000
410003201120020
5114404011013
610430055000
71454156022
oct403413010
9152011330
1068032008
1135447500
121a94a460
131112cb35
14906d012
155e8c973
hex40e1608

68032008 has 192 divisors, whose sum is σ = 220248000. Its totient is φ = 19388160.

The previous prime is 68031979. The next prime is 68032009. The reversal of 68032008 is 80023086.

It is a super-2 number, since 2×680320082 = 9256708225024128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68032009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496516 + ... + 496652.

It is an arithmetic number, because the mean of its divisors is an integer number (1147125).

Almost surely, 268032008 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 68032008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110124000).

68032008 is an abundant number, since it is smaller than the sum of its proper divisors (152215992).

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

68032008 is a wasteful number, since it uses less digits than its factorization.

68032008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68032008 is about 8248.1517929776. The cubic root of 68032008 is about 408.2295421149.

The spelling of 68032008 in words is "sixty-eight million, thirty-two thousand, eight".