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68679576 = 233573103
BaseRepresentation
bin1000001011111…
…11011110011000
311210020021200000
410011333132120
5120040221301
610452013000
71462524000
oct405773630
9153207600
1068679576
1135849a89
121b001160
13112c8804
14919b000
156069786
hex417f798

68679576 has 192 divisors, whose sum is σ = 227136000. Its totient is φ = 19432224.

The previous prime is 68679571. The next prime is 68679577. The reversal of 68679576 is 67597686.

It is a happy number.

68679576 is a `hidden beast` number, since 6 + 8 + 67 + 9 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68679571) 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, 666741 + ... + 666843.

It is an arithmetic number, because the mean of its divisors is an integer number (1183000).

Almost surely, 268679576 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 68679576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568000).

68679576 is an abundant number, since it is smaller than the sum of its proper divisors (158456424).

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

68679576 is a wasteful number, since it uses less digits than its factorization.

68679576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 68679576 is about 8287.3141608123. The cubic root of 68679576 is about 409.5207090119.

The spelling of 68679576 in words is "sixty-eight million, six hundred seventy-nine thousand, five hundred seventy-six".