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45939696 = 24311167521
BaseRepresentation
bin1010111100111…
…1101111110000
310012102222102020
42233033233300
543230032241
64320351440
71065323655
oct257175760
9105388366
1045939696
1123a281a0
1213475580
13969626a
14615bc2c
154076b66
hex2bcfbf0

45939696 has 80 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 13811200.

The previous prime is 45939659. The next prime is 45939697. The reversal of 45939696 is 69693954.

It is a happy number.

It is a super-2 number, since 2×459396962 = 4220911337144832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45939697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87916 + ... + 88436.

Almost surely, 245939696 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 45939696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

45939696 is an abundant number, since it is smaller than the sum of its proper divisors (84551952).

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

45939696 is a wasteful number, since it uses less digits than its factorization.

45939696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 51.

The square root of 45939696 is about 6777.8828552875. The cubic root of 45939696 is about 358.1481446320.

The spelling of 45939696 in words is "forty-five million, nine hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 264 334 501 521 528 668 1002 1042 1336 1563 1837 2004 2084 2672 3126 3674 4008 4168 5511 5731 6252 7348 8016 8336 11022 11462 12504 14696 17193 22044 22924 25008 29392 34386 44088 45848 68772 87007 88176 91696 137544 174014 261021 275088 348028 522042 696056 957077 1044084 1392112 1914154 2088168 2871231 3828308 4176336 5742462 7656616 11484924 15313232 22969848 45939696