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45896864 = 2513313559
BaseRepresentation
bin1010111100010…
…1010010100000
310012100210122212
42233011102200
543222144424
64315421252
71065055046
oct257052240
9105323585
1045896864
11239a8aa2
1213454828
13967c910
14614a396
15406910e
hex2bc54a0

45896864 has 48 divisors (see below), whose sum is σ = 100477440. Its totient is φ = 20494080.

The previous prime is 45896861. The next prime is 45896869. The reversal of 45896864 is 46869854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45896861) by changing a digit.

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, 11117 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (2093280).

Almost surely, 245896864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50238720).

45896864 is an abundant number, since it is smaller than the sum of its proper divisors (54580576).

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

45896864 is a wasteful number, since it uses less digits than its factorization.

45896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3605 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 45896864 is about 6774.7224297384. The cubic root of 45896864 is about 358.0368032241.

The spelling of 45896864 in words is "forty-five million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 3559 6448 7118 12896 14236 28472 46267 56944 92534 110329 113888 185068 220658 370136 441316 740272 882632 1434277 1480544 1765264 2868554 3530528 5737108 11474216 22948432 45896864