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44534016 = 283317379
BaseRepresentation
bin1010100111100…
…0100100000000
310002210120012000
42221320210000
542400042031
64230304000
71050350532
oct251704400
9102716160
1044534016
112315807a
1212ab8000
1392c34b7
145cb3852
153d9a3e6
hex2a78900

44534016 has 144 divisors (see below), whose sum is σ = 139809600. Its totient is φ = 13934592.

The previous prime is 44533997. The next prime is 44534027. The reversal of 44534016 is 61043544.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 117315 + ... + 117693.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 244534016 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 44534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69904800).

44534016 is an abundant number, since it is smaller than the sum of its proper divisors (95275584).

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

44534016 is a wasteful number, since it uses less digits than its factorization.

44534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 44534016 is about 6673.3811520098. The cubic root of 44534016 is about 354.4573233340.

The spelling of 44534016 in words is "forty-four million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 379 384 408 432 459 544 576 612 758 768 816 864 918 1088 1137 1152 1224 1516 1632 1728 1836 2176 2274 2304 2448 3032 3264 3411 3456 3672 4352 4548 4896 6064 6443 6528 6822 6912 7344 9096 9792 10233 12128 12886 13056 13644 14688 18192 19329 19584 20466 24256 25772 27288 29376 36384 38658 39168 40932 48512 51544 54576 57987 58752 72768 77316 81864 97024 103088 109152 115974 117504 145536 154632 163728 173961 206176 218304 231948 291072 309264 327456 347922 412352 436608 463896 618528 654912 695844 824704 873216 927792 1237056 1309824 1391688 1649408 1855584 2474112 2619648 2783376 3711168 4948224 5566752 7422336 11133504 14844672 22267008 44534016