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108628992 = 210333929
BaseRepresentation
bin1100111100110…
…00110000000000
321120101220222000
412132120300000
5210302111432
614440144000
72456221413
oct636306000
9246356860
10108628992
115635562a
1230468000
1319675314
14105d9b7a
15980b57c
hex6798c00

108628992 has 88 divisors (see below), whose sum is σ = 321788400. Its totient is φ = 36200448.

The previous prime is 108628981. The next prime is 108629009. The reversal of 108628992 is 299826801.

108628992 is a `hidden beast` number, since 10 + 8 + 628 + 9 + 9 + 2 = 666.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25684 + ... + 29612.

Almost surely, 2108628992 is an apocalyptic number.

108628992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160894200).

108628992 is an abundant number, since it is smaller than the sum of its proper divisors (213159408).

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

108628992 is an equidigital number, since it uses as much as digits as its factorization.

108628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 108628992 is about 10422.5233029243. The cubic root of 108628992 is about 477.1430289805.

The spelling of 108628992 in words is "one hundred eight million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 3929 4608 6912 7858 9216 11787 13824 15716 23574 27648 31432 35361 47148 62864 70722 94296 106083 125728 141444 188592 212166 251456 282888 377184 424332 502912 565776 754368 848664 1005824 1131552 1508736 1697328 2011648 2263104 3017472 3394656 4023296 4526208 6034944 6789312 9052416 12069888 13578624 18104832 27157248 36209664 54314496 108628992