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44742544 = 24711231579
BaseRepresentation
bin1010101010101…
…1011110010000
310010012011020021
42222223132100
542423230134
64234553224
71052206510
oct252533620
9103164207
1044742544
112328a810
1212b98814
1393673a2
145d29840
153ddc0b4
hex2aab790

44742544 has 80 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 16663680.

The previous prime is 44742499. The next prime is 44742553. The reversal of 44742544 is 44524744.

44742544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27547 + ... + 29125.

It is an arithmetic number, because the mean of its divisors is an integer number (1410624).

Almost surely, 244742544 is an apocalyptic number.

44742544 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 44742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

44742544 is an abundant number, since it is smaller than the sum of its proper divisors (68107376).

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

44742544 is a wasteful number, since it uses less digits than its factorization.

44742544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its digits is 71680, while the sum is 34.

The square root of 44742544 is about 6688.9867693097. The cubic root of 44742544 is about 355.0097041585.

The spelling of 44742544 in words is "forty-four million, seven hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1579 1771 2024 2576 3158 3542 4048 6316 7084 11053 12632 14168 17369 22106 25264 28336 34738 36317 44212 69476 72634 88424 121583 138952 145268 176848 243166 254219 277904 290536 399487 486332 508438 581072 798974 972664 1016876 1597948 1945328 2033752 2796409 3195896 4067504 5592818 6391792 11185636 22371272 44742544