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44080960 = 2657111789
BaseRepresentation
bin1010100000100…
…1111101000000
310001221112201011
42220021331000
542241042320
64212450304
71043452630
oct250117500
9101845634
1044080960
1122978750
1212919994
139195211
145bd66c0
153d0b05a
hex2a09f40

44080960 has 112 divisors (see below), whose sum is σ = 130942080. Its totient is φ = 13731840.

The previous prime is 44080913. The next prime is 44080987. The reversal of 44080960 is 6908044.

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

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, 23746 + ... + 25534.

Almost surely, 244080960 is an apocalyptic number.

44080960 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 44080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65471040).

44080960 is an abundant number, since it is smaller than the sum of its proper divisors (86861120).

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

44080960 is a wasteful number, since it uses less digits than its factorization.

44080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 44080960 is about 6639.3493657135. The cubic root of 44080960 is about 353.2512288956.

The spelling of 44080960 in words is "forty-four million, eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 1789 2240 2464 3080 3520 3578 4928 6160 7156 8945 12320 12523 14312 17890 19679 24640 25046 28624 35780 39358 50092 57248 62615 71560 78716 98395 100184 114496 125230 137753 143120 157432 196790 200368 250460 275506 286240 314864 393580 400736 500920 551012 572480 629728 688765 787160 801472 1001840 1102024 1259456 1377530 1574320 2003680 2204048 2755060 3148640 4007360 4408096 5510120 6297280 8816192 11020240 22040480 44080960