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44929680 = 24351959167
BaseRepresentation
bin1010101101100…
…1001010010000
310010112122221020
42223121022100
543000222210
64242555440
71053616215
oct253311220
9103478836
1044929680
11233a8374
1213068b80
139401613
145d77b0c
153e27770
hex2ad9290

44929680 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 11091456.

The previous prime is 44929669. The next prime is 44929693. The reversal of 44929680 is 8692944.

It is a super-2 number, since 2×449296802 = 4037352289804800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 268957 + ... + 269123.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 244929680 is an apocalyptic number.

44929680 is a gapful number since it is divisible by the number (40) 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 44929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

44929680 is an abundant number, since it is smaller than the sum of its proper divisors (105060720).

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

44929680 is a wasteful number, since it uses less digits than its factorization.

44929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 44929680 is about 6702.9605399405. The cubic root of 44929680 is about 355.5039592375.

The spelling of 44929680 in words is "forty-four million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 59 60 76 80 95 114 118 120 152 167 177 190 228 236 240 285 295 304 334 354 380 456 472 501 570 590 668 708 760 835 885 912 944 1002 1121 1140 1180 1336 1416 1520 1670 1770 2004 2242 2280 2360 2505 2672 2832 3173 3340 3363 3540 4008 4484 4560 4720 5010 5605 6346 6680 6726 7080 8016 8968 9519 9853 10020 11210 12692 13360 13452 14160 15865 16815 17936 19038 19706 20040 22420 25384 26904 29559 31730 33630 38076 39412 40080 44840 47595 49265 50768 53808 59118 63460 67260 76152 78824 89680 95190 98530 118236 126920 134520 147795 152304 157648 187207 190380 197060 236472 253840 269040 295590 374414 380760 394120 472944 561621 591180 748828 761520 788240 936035 1123242 1182360 1497656 1872070 2246484 2364720 2808105 2995312 3744140 4492968 5616210 7488280 8985936 11232420 14976560 22464840 44929680