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44013000 = 2335317863
BaseRepresentation
bin1010011111100…
…1010111001000
310001211002111010
42213321113020
542231404000
64211203520
71043050533
oct247712710
9101732433
1044013000
1122931689
12128a65a0
1391702c5
145bb9a1a
153ce5d50
hex29f95c8

44013000 has 128 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 11033600.

The previous prime is 44012959. The next prime is 44013019. The reversal of 44013000 is 31044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50569 + ... + 51431.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 244013000 is an apocalyptic number.

44013000 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 44013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

44013000 is an abundant number, since it is smaller than the sum of its proper divisors (101553720).

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

44013000 is a wasteful number, since it uses less digits than its factorization.

44013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 44013000 is about 6634.2294202115. The cubic root of 44013000 is about 353.0695986911.

Adding to 44013000 its reverse (31044), we get a palindrome (44044044).

The spelling of 44013000 in words is "forty-four million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 863 1000 1020 1275 1500 1700 1726 2040 2125 2550 2589 3000 3400 3452 4250 4315 5100 5178 6375 6904 8500 8630 10200 10356 12750 12945 14671 17000 17260 20712 21575 25500 25890 29342 34520 43150 44013 51000 51780 58684 64725 73355 86300 88026 103560 107875 117368 129450 146710 172600 176052 215750 220065 258900 293420 323625 352104 366775 431500 440130 517800 586840 647250 733550 863000 880260 1100325 1294500 1467100 1760520 1833875 2200650 2589000 2934200 3667750 4401300 5501625 7335500 8802600 11003250 14671000 22006500 44013000