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68802048 = 2935779
BaseRepresentation
bin1000001100111…
…01011000000000
311210110111200000
410012131120000
5120103131143
610454400000
71463544030
oct406353000
9153414600
1068802048
1135922aa7
121b060000
131133c493
1491cd8c0
156090bd3
hex419d600

68802048 has 240 divisors, whose sum is σ = 238318080. Its totient is φ = 19408896.

The previous prime is 68802047. The next prime is 68802079. The reversal of 68802048 is 84020886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 68802048 = 963 + 4083 = 3043 + 3443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68802047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870873 + ... + 870951.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 268802048 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 68802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

68802048 is an abundant number, since it is smaller than the sum of its proper divisors (169516032).

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

68802048 is an frugal number, since it uses more digits than its factorization.

68802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68802048 is about 8294.6999945748. The cubic root of 68802048 is about 409.7639886982.

The spelling of 68802048 in words is "sixty-eight million, eight hundred two thousand, forty-eight".