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68632992 = 25321671427
BaseRepresentation
bin1000001011101…
…00000110100000
311210010220202200
410011310012200
5120032223432
610451013200
71462241121
oct405640640
9153126680
1068632992
1135817a8a
121ab9a200
13112b054c
149188048
15605aa7c
hex41741a0

68632992 has 72 divisors (see below), whose sum is σ = 196481376. Its totient is φ = 22724736.

The previous prime is 68632987. The next prime is 68633003. The reversal of 68632992 is 29923686.

68632992 is a `hidden beast` number, since 6 + 8 + 632 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47383 + ... + 48809.

It is an arithmetic number, because the mean of its divisors is an integer number (2728908).

Almost surely, 268632992 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 68632992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98240688).

68632992 is an abundant number, since it is smaller than the sum of its proper divisors (127848384).

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

68632992 is a wasteful number, since it uses less digits than its factorization.

68632992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1599 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 68632992 is about 8284.5031233020. The cubic root of 68632992 is about 409.4280981337.

The spelling of 68632992 in words is "sixty-eight million, six hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1427 1503 2004 2672 2854 3006 4008 4281 5344 5708 6012 8016 8562 11416 12024 12843 16032 17124 22832 24048 25686 34248 45664 48096 51372 68496 102744 136992 205488 238309 410976 476618 714927 953236 1429854 1906472 2144781 2859708 3812944 4289562 5719416 7625888 8579124 11438832 17158248 22877664 34316496 68632992