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44067144 = 23311712351
BaseRepresentation
bin1010100000011…
…0100101001000
310001220211202110
42220012211020
542240122034
64212302320
71043364432
oct250064510
9101824673
1044067144
1122969330
12129119a0
13918bb44
145bd1652
153d06de9
hex2a06948

44067144 has 64 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 13160000.

The previous prime is 44067113. The next prime is 44067161. The reversal of 44067144 is 44176044.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 17569 + ... + 19919.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 244067144 is an apocalyptic number.

44067144 is a gapful number since it is divisible by the number (44) 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 44067144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

44067144 is an abundant number, since it is smaller than the sum of its proper divisors (77860536).

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

44067144 is a wasteful number, since it uses less digits than its factorization.

44067144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 44067144 is about 6638.3088207766. The cubic root of 44067144 is about 353.2143193171.

Subtracting 44067144 from its reverse (44176044), we obtain a square (108900 = 3302).

The spelling of 44067144 in words is "forty-four million, sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 2351 3124 4686 4702 6248 7053 9372 9404 14106 18744 18808 25861 28212 51722 56424 77583 103444 155166 166921 206888 310332 333842 500763 620664 667684 1001526 1335368 1836131 2003052 3672262 4006104 5508393 7344524 11016786 14689048 22033572 44067144