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44473680 = 24325193251
BaseRepresentation
bin1010100110100…
…1110101010000
310002200111102100
42221221311100
542341124210
64225120400
71050006606
oct251516520
9102614370
1044473680
1123116809
1212a89100
1392a1bb4
145c99876
153d875c0
hex2a69d50

44473680 has 120 divisors (see below), whose sum is σ = 157266720. Its totient is φ = 11232000.

The previous prime is 44473673. The next prime is 44473711. The reversal of 44473680 is 8637444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12055 + ... + 15305.

It is an arithmetic number, because the mean of its divisors is an integer number (1310556).

Almost surely, 244473680 is an apocalyptic number.

44473680 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 44473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78633360).

44473680 is an abundant number, since it is smaller than the sum of its proper divisors (112793040).

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

44473680 is a wasteful number, since it uses less digits than its factorization.

44473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 44473680 is about 6668.8589728678. The cubic root of 44473680 is about 354.2971745711.

The spelling of 44473680 in words is "forty-four million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3251 3420 4560 6502 6840 9753 13004 13680 16255 19506 26008 29259 32510 39012 48765 52016 58518 61769 65020 78024 97530 117036 123538 130040 146295 156048 185307 195060 234072 247076 260080 292590 308845 370614 390120 468144 494152 555921 585180 617690 741228 780240 926535 988304 1111842 1170360 1235380 1482456 1853070 2223684 2340720 2470760 2779605 2964912 3706140 4447368 4941520 5559210 7412280 8894736 11118420 14824560 22236840 44473680