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68624656 = 241921092
BaseRepresentation
bin1000001011100…
…10000100010000
311210010111022221
410011302010100
5120031442111
610450510424
71462204612
oct405620420
9153114287
1068624656
11358117a1
121ab95414
13112a9809
149184db2
156058371
hex4172110

68624656 has 45 divisors (see below), whose sum is σ = 141625701. Its totient is φ = 32208192.

The previous prime is 68624641. The next prime is 68624671. The reversal of 68624656 is 65642686.

The square root of 68624656 is 8284.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (68624641) and next prime (68624671).

It can be written as a sum of positive squares in only one way, i.e., 47831056 + 20793600 = 6916^2 + 4560^2 .

It is a super-2 number, since 2×686246562 = 9418686822236672, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 629530 + ... + 629638.

Almost surely, 268624656 is an apocalyptic number.

68624656 is the 8284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68624656

68624656 is an abundant number, since it is smaller than the sum of its proper divisors (73001045).

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

68624656 is a wasteful number, since it uses less digits than its factorization.

68624656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The cubic root of 68624656 is about 409.4115214081.

The spelling of 68624656 in words is "sixty-eight million, six hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 109 152 218 304 361 436 722 872 1444 1744 2071 2888 4142 5776 8284 11881 16568 23762 33136 39349 47524 78698 95048 157396 190096 225739 314792 451478 629584 902956 1805912 3611824 4289041 8578082 17156164 34312328 68624656