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106444926 = 23274431907
BaseRepresentation
bin1100101100000…
…11100001111110
321102021221222200
412112003201332
5204222214201
614321252330
72431524030
oct626034176
9242257880
10106444926
11550a3715
122b7940a6
131908c183
14101cbc50
159529386
hex658387e

106444926 has 48 divisors (see below), whose sum is σ = 264311424. Its totient is φ = 30328272.

The previous prime is 106444907. The next prime is 106444937. The reversal of 106444926 is 629444601.

106444926 is a `hidden beast` number, since 1 + 0 + 644 + 4 + 9 + 2 + 6 = 666.

It is a super-2 number, since 2×1064449262 = 22661044542290952, which contains 22 as substring.

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, 54865 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (5506488).

Almost surely, 2106444926 is an apocalyptic number.

106444926 is an abundant number, since it is smaller than the sum of its proper divisors (157866498).

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

106444926 is a wasteful number, since it uses less digits than its factorization.

106444926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106444926 is about 10317.2150311991. The cubic root of 106444926 is about 473.9235843272.

The spelling of 106444926 in words is "one hundred six million, four hundred forty-four thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 443 886 1329 1907 2658 3101 3814 3987 5721 6202 7974 9303 11442 13349 17163 18606 26698 27909 34326 40047 55818 80094 120141 240282 844801 1689602 2534403 5068806 5913607 7603209 11827214 15206418 17740821 35481642 53222463 106444926