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68632884 = 22323189691
BaseRepresentation
bin1000001011101…
…00000100110100
311210010220121200
410011310010310
5120032223014
610451012500
71462240605
oct405640464
9153126550
1068632884
11358179a1
121ab9a130
13112b0498
149187dac
15605aa09
hex4174134

68632884 has 72 divisors (see below), whose sum is σ = 181359360. Its totient is φ = 21859200.

The previous prime is 68632867. The next prime is 68632901. The reversal of 68632884 is 48823686.

68632884 = T32 + T33 + ... + T743.

It is a happy number.

68632884 is a `hidden beast` number, since 6 + 8 + 632 + 8 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (68632867) and next prime (68632901).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98979 + ... + 99669.

It is an arithmetic number, because the mean of its divisors is an integer number (2518880).

Almost surely, 268632884 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 68632884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90679680).

68632884 is an abundant number, since it is smaller than the sum of its proper divisors (112726476).

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

68632884 is a wasteful number, since it uses less digits than its factorization.

68632884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68632884 is about 8284.4966051052. The cubic root of 68632884 is about 409.4278833766.

The spelling of 68632884 in words is "sixty-eight million, six hundred thirty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 691 801 1068 1116 1382 1602 2073 2759 2764 3204 4146 5518 6219 8277 8292 11036 12438 16554 21421 24831 24876 33108 42842 49662 61499 64263 85684 99324 122998 128526 184497 192789 245996 257052 368994 385578 553491 737988 771156 1106982 1906469 2213964 3812938 5719407 7625876 11438814 17158221 22877628 34316442 68632884