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45918444 = 223111326759
BaseRepresentation
bin1010111100101…
…0100011101100
310012101220021010
42233022203230
543223342234
64320105220
71065205005
oct257124354
9105356233
1045918444
1123a13230
1213465210
1396896a0
1461541ac
1540706e9
hex2bca8ec

45918444 has 48 divisors (see below), whose sum is σ = 125879040. Its totient is φ = 12843840.

The previous prime is 45918437. The next prime is 45918449. The reversal of 45918444 is 44481954.

It is a super-2 number, since 2×459184442 = 4217006998762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45918449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11664 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (2622480).

Almost surely, 245918444 is an apocalyptic number.

45918444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45918444 is an abundant number, since it is smaller than the sum of its proper divisors (79960596).

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

45918444 is a wasteful number, since it uses less digits than its factorization.

45918444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26790 (or 26788 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 45918444 is about 6776.3149277465. The cubic root of 45918444 is about 358.0929088989.

The spelling of 45918444 in words is "forty-five million, nine hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 26759 53518 80277 107036 160554 294349 321108 347867 588698 695734 883047 1043601 1177396 1391468 1766094 2087202 3532188 3826537 4174404 7653074 11479611 15306148 22959222 45918444