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106247792 = 2472633607
BaseRepresentation
bin1100101010100…
…11011001110000
321101220221120102
412111103121300
5204144412132
614313131532
72430043220
oct625233160
9241827512
10106247792
1154a795a2
122b6b9ba8
1319020521
141017a080
1594dac62
hex6553670

106247792 has 40 divisors (see below), whose sum is σ = 236222976. Its totient is φ = 45349056.

The previous prime is 106247759. The next prime is 106247839. The reversal of 106247792 is 297742601.

It is a super-2 number, since 2×1062477922 = 22577186609750528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27653 + ... + 31259.

Almost surely, 2106247792 is an apocalyptic number.

It is an amenable number.

106247792 is an abundant number, since it is smaller than the sum of its proper divisors (129975184).

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

106247792 is a wasteful number, since it uses less digits than its factorization.

106247792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 106247792 is about 10307.6569597557. The cubic root of 106247792 is about 473.6308376788.

The spelling of 106247792 in words is "one hundred six million, two hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 263 526 1052 1841 2104 3607 3682 4208 7214 7364 14428 14728 25249 28856 29456 50498 57712 100996 201992 403984 948641 1897282 3794564 6640487 7589128 13280974 15178256 26561948 53123896 106247792