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44628896 = 2513711511
BaseRepresentation
bin1010101000111…
…1101110100000
310002222101100002
42222033232200
542411111041
64232315132
71051224254
oct252175640
9102871302
1044628896
1123212394
1212b42aa8
139327740
145cda264
153db859b
hex2a8fba0

44628896 has 48 divisors (see below), whose sum is σ = 96018048. Its totient is φ = 20294400.

The previous prime is 44628889. The next prime is 44628907. The reversal of 44628896 is 69882644.

44628896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44628896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28781 + ... + 30291.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376).

Almost surely, 244628896 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 44628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

44628896 is an abundant number, since it is smaller than the sum of its proper divisors (51389152).

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

44628896 is a wasteful number, since it uses less digits than its factorization.

44628896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1597 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 44628896 is about 6680.4862098503. The cubic root of 44628896 is about 354.7088692941.

The spelling of 44628896 in words is "forty-four million, six hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1511 1846 2272 3022 3692 6044 7384 12088 14768 19643 24176 29536 39286 48352 78572 107281 157144 214562 314288 429124 628576 858248 1394653 1716496 2789306 3432992 5578612 11157224 22314448 44628896