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45945168 = 2432341617
BaseRepresentation
bin1010111101000…
…1000101010000
310012110020220220
42233101011100
543230221133
64320433040
71065345633
oct257210520
9105406826
1045945168
1123a31315
1213478780
1396988b9
14615dc1a
1540785b3
hex2bd1150

45945168 has 40 divisors (see below), whose sum is σ = 123855168. Its totient is φ = 14648832.

The previous prime is 45945149. The next prime is 45945181. The reversal of 45945168 is 86154954.

It is a super-2 number, since 2×459451682 = 4221916925096448, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19705 + ... + 21912.

Almost surely, 245945168 is an apocalyptic number.

45945168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45945168 is an abundant number, since it is smaller than the sum of its proper divisors (77910000).

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

45945168 is a wasteful number, since it uses less digits than its factorization.

45945168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41651 (or 41645 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 45945168 is about 6778.2865091408. The cubic root of 45945168 is about 358.1623640618.

The spelling of 45945168 in words is "forty-five million, nine hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 41617 83234 124851 166468 249702 332936 499404 665872 957191 998808 1914382 1997616 2871573 3828764 5743146 7657528 11486292 15315056 22972584 45945168