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44954112 = 293737113
BaseRepresentation
bin1010101101111…
…1001000000000
310010120220110010
42223133020000
543002012422
64243304520
71054050360
oct253371000
9103526403
1044954112
1123414765
121307b140
13940c788
145d829a0
153e2eb0c
hex2adf200

44954112 has 160 divisors (see below), whose sum is σ = 141812352. Its totient is φ = 12386304.

The previous prime is 44954093. The next prime is 44954113. The reversal of 44954112 is 21145944.

It is a self number, because there is not a number n which added to its sum of digits gives 44954112.

It is not an unprimeable number, because it can be changed into a prime (44954113) by changing a digit.

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, 397768 + ... + 397880.

Almost surely, 244954112 is an apocalyptic number.

44954112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70906176).

44954112 is an abundant number, since it is smaller than the sum of its proper divisors (96858240).

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

44954112 is a wasteful number, since it uses less digits than its factorization.

44954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 44954112 is about 6704.7827705303. The cubic root of 44954112 is about 355.5683865740.

The spelling of 44954112 in words is "forty-four million, nine hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 113 128 148 168 192 222 224 226 256 259 296 336 339 384 444 448 452 512 518 592 672 678 768 777 791 888 896 904 1036 1184 1344 1356 1536 1554 1582 1776 1792 1808 2072 2368 2373 2688 2712 3108 3164 3552 3584 3616 4144 4181 4736 4746 5376 5424 6216 6328 7104 7232 8288 8362 9472 9492 10752 10848 12432 12543 12656 14208 14464 16576 16724 18944 18984 21696 24864 25086 25312 28416 28928 29267 33152 33448 37968 43392 49728 50172 50624 56832 57856 58534 66304 66896 75936 86784 87801 99456 100344 101248 117068 132608 133792 151872 173568 175602 198912 200688 202496 234136 267584 303744 351204 397824 401376 404992 468272 535168 607488 702408 802752 936544 1070336 1214976 1404816 1605504 1873088 2140672 2809632 3211008 3746176 5619264 6422016 7492352 11238528 14984704 22477056 44954112