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45106146 = 23630937
BaseRepresentation
bin1010110000010…
…0001111100010
310010212122000000
42230010033202
543021344041
64250440430
71055252541
oct254041742
9103778000
1045106146
1123508a08
1213133116
139463a37
145dc2158
153e5ebb6
hex2b043e2

45106146 has 28 divisors (see below), whose sum is σ = 101445702. Its totient is φ = 15034896.

The previous prime is 45106123. The next prime is 45106157. The reversal of 45106146 is 64160154.

45106146 is a `hidden beast` number, since 4 + 510 + 6 + 146 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43758225 + 1347921 = 6615^2 + 1161^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 14011 + ... + 16926.

Almost surely, 245106146 is an apocalyptic number.

45106146 is an abundant number, since it is smaller than the sum of its proper divisors (56339556).

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

45106146 is an equidigital number, since it uses as much as digits as its factorization.

45106146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30957 (or 30942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45106146 is about 6716.1109282084. The cubic root of 45106146 is about 355.9687775084.

The spelling of 45106146 in words is "forty-five million, one hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 30937 61874 92811 185622 278433 556866 835299 1670598 2505897 5011794 7517691 15035382 22553073 45106146