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44531040 = 2535113821
BaseRepresentation
bin1010100111011…
…1110101100000
310002210102002210
42221313311200
542344443130
64230242120
71050336051
oct251676540
9102712083
1044531040
1123155914
1212ab6340
1392c2038
145cb2728
153d995b0
hex2a77d60

44531040 has 96 divisors (see below), whose sum is σ = 141686496. Its totient is φ = 11755520.

The previous prime is 44531033. The next prime is 44531057. The reversal of 44531040 is 4013544.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44530998 and 44531016.

It is a congruent number.

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, 53830 + ... + 54650.

It is an arithmetic number, because the mean of its divisors is an integer number (1475901).

Almost surely, 244531040 is an apocalyptic number.

44531040 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 44531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70843248).

44531040 is an abundant number, since it is smaller than the sum of its proper divisors (97155456).

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

44531040 is a wasteful number, since it uses less digits than its factorization.

44531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 44531040 is about 6673.1581728594. The cubic root of 44531040 is about 354.4494275830.

Adding to 44531040 its reverse (4013544), we get a palindrome (48544584).

The spelling of 44531040 in words is "forty-four million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 821 904 1130 1356 1642 1695 1808 2260 2463 2712 3284 3390 3616 4105 4520 4926 5424 6568 6780 8210 9040 9852 10848 12315 13136 13560 16420 18080 19704 24630 26272 27120 32840 39408 49260 54240 65680 78816 92773 98520 131360 185546 197040 278319 371092 394080 463865 556638 742184 927730 1113276 1391595 1484368 1855460 2226552 2783190 2968736 3710920 4453104 5566380 7421840 8906208 11132760 14843680 22265520 44531040