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44149056 = 2637107307
BaseRepresentation
bin1010100001101…
…0100101000000
310002002000010020
42220122211000
542300232211
64214133440
71044155310
oct250324500
9102060106
1044149056
1122a14926
1212951280
1391ba203
145c13440
153d21306
hex2a1a940

44149056 has 112 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 12455424.

The previous prime is 44149043. The next prime is 44149067. The reversal of 44149056 is 65094144.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×441490562 = 3898278291382272, which contains 22 as substring.

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, 143655 + ... + 143961.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 244149056 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 44149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

44149056 is an abundant number, since it is smaller than the sum of its proper divisors (91035840).

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

44149056 is a wasteful number, since it uses less digits than its factorization.

44149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 44149056 is about 6644.4756000756. The cubic root of 44149056 is about 353.4330354294.

The spelling of 44149056 in words is "forty-four million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 307 321 336 428 448 614 642 672 749 856 921 1228 1284 1344 1498 1712 1842 2149 2247 2456 2568 2996 3424 3684 4298 4494 4912 5136 5992 6447 6848 7368 8596 8988 9824 10272 11984 12894 14736 17192 17976 19648 20544 23968 25788 29472 32849 34384 35952 47936 51576 58944 65698 68768 71904 98547 103152 131396 137536 143808 197094 206304 229943 262792 394188 412608 459886 525584 689829 788376 919772 1051168 1379658 1576752 1839544 2102336 2759316 3153504 3679088 5518632 6307008 7358176 11037264 14716352 22074528 44149056