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44264016 = 2433791297
BaseRepresentation
bin1010100011011…
…0101001010000
310002021211211000
42220312221100
542312422031
64220422000
71045144416
oct250665120
9102254730
1044264016
1122a93235
12129a7900
13922a634
145c432b6
153d453e6
hex2a36a50

44264016 has 80 divisors (see below), whose sum is σ = 128761600. Its totient is φ = 14556672.

The previous prime is 44263997. The next prime is 44264023. The reversal of 44264016 is 61046244.

44264016 is a `hidden beast` number, since 4 + 4 + 2 + 640 + 16 = 666.

It is a super-2 number, since 2×442640162 = 3918606224896512, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33480 + ... + 34776.

It is an arithmetic number, because the mean of its divisors is an integer number (1609520).

Almost surely, 244264016 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 44264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64380800).

44264016 is an abundant number, since it is smaller than the sum of its proper divisors (84497584).

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

44264016 is a wasteful number, since it uses less digits than its factorization.

44264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

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

The square root of 44264016 is about 6653.1207714876. The cubic root of 44264016 is about 353.7395383705.

The spelling of 44264016 in words is "forty-four million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1297 1422 1896 2133 2594 2844 3792 3891 4266 5188 5688 7782 8532 10376 11376 11673 15564 17064 20752 23346 31128 34128 35019 46692 62256 70038 93384 102463 140076 186768 204926 280152 307389 409852 560304 614778 819704 922167 1229556 1639408 1844334 2459112 2766501 3688668 4918224 5533002 7377336 11066004 14754672 22132008 44264016