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44642016 = 25355741
BaseRepresentation
bin1010101001001…
…0111011100000
310010000001100000
42222102323200
542412021031
64232500000
71051310436
oct252227340
9103001300
1044642016
1123221231
1212b4a600
1393306c3
145d00d56
153dbc3e6
hex2a92ee0

44642016 has 72 divisors (see below), whose sum is σ = 131675544. Its totient is φ = 14878080.

The previous prime is 44641999. The next prime is 44642027. The reversal of 44642016 is 61024644.

44642016 is a `hidden beast` number, since 4 + 4 + 642 + 0 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4906 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (1828827).

Almost surely, 244642016 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 44642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65837772).

44642016 is an abundant number, since it is smaller than the sum of its proper divisors (87033528).

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

44642016 is an equidigital number, since it uses as much as digits as its factorization.

44642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44642016 is about 6681.4681021464. The cubic root of 44642016 is about 354.7436249854.

The spelling of 44642016 in words is "forty-four million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5741 7776 11482 17223 22964 34446 45928 51669 68892 91856 103338 137784 155007 183712 206676 275568 310014 413352 465021 551136 620028 826704 930042 1240056 1395063 1653408 1860084 2480112 2790126 3720168 4960224 5580252 7440336 11160504 14880672 22321008 44642016