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44649920 = 265731643
BaseRepresentation
bin1010101001010…
…0110111000000
310010000110011202
42222110313000
542412244140
64233000332
71051342460
oct252246700
9103013152
1044649920
1123227167
1212b530a8
139334193
145d03ba0
153dbe915
hex2a94dc0

44649920 has 112 divisors (see below), whose sum is σ = 125626368. Its totient is φ = 14791680.

The previous prime is 44649919. The next prime is 44649929. The reversal of 44649920 is 2994644.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44649929) 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, 69119 + ... + 69761.

It is an arithmetic number, because the mean of its divisors is an integer number (1121664).

Almost surely, 244649920 is an apocalyptic number.

44649920 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 44649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62813184).

44649920 is an abundant number, since it is smaller than the sum of its proper divisors (80976448).

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

44649920 is a wasteful number, since it uses less digits than its factorization.

44649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 44649920 is about 6682.0595627396. The cubic root of 44649920 is about 354.7645598834.

The spelling of 44649920 in words is "forty-four million, six hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 643 868 992 1085 1120 1240 1286 1736 1984 2170 2240 2480 2572 3215 3472 4340 4501 4960 5144 6430 6944 8680 9002 9920 10288 12860 13888 17360 18004 19933 20576 22505 25720 34720 36008 39866 41152 45010 51440 69440 72016 79732 90020 99665 102880 139531 144032 159464 180040 199330 205760 279062 288064 318928 360080 398660 558124 637856 697655 720160 797320 1116248 1275712 1395310 1440320 1594640 2232496 2790620 3189280 4464992 5581240 6378560 8929984 11162480 22324960 44649920