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45422496 = 2532722531
BaseRepresentation
bin1010110101000…
…1011110100000
310011110200221200
42231101132200
543112004441
64301321200
71061041050
oct255213640
9104420850
1045422496
1123704659
1213266200
139544a22
146065560
153ec37b6
hex2b517a0

45422496 has 72 divisors (see below), whose sum is σ = 147629664. Its totient is φ = 12977280.

The previous prime is 45422459. The next prime is 45422513. The reversal of 45422496 is 69422454.

45422496 is a `hidden beast` number, since 4 + 542 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45422496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9250 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (2050412).

Almost surely, 245422496 is an apocalyptic number.

It is an amenable number.

45422496 is an abundant number, since it is smaller than the sum of its proper divisors (102207168).

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

45422496 is a wasteful number, since it uses less digits than its factorization.

45422496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22554 (or 22543 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 45422496 is about 6739.6213543492. The cubic root of 45422496 is about 356.7990300737.

The spelling of 45422496 in words is "forty-five million, four hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 22531 45062 67593 90124 135186 157717 180248 202779 270372 315434 360496 405558 473151 540744 630868 720992 811116 946302 1081488 1261736 1419453 1622232 1892604 2162976 2523472 2838906 3244464 3785208 5046944 5677812 6488928 7570416 11355624 15140832 22711248 45422496