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44164980 = 22335172283
BaseRepresentation
bin1010100001111…
…0011101110100
310002002210222000
42220132131310
542301234410
64214335300
71044252606
oct250363564
9102083860
1044164980
1122a25892
121295a530
1391c4532
145c19176
153d25dc0
hex2a1e774

44164980 has 144 divisors (see below), whose sum is σ = 146475840. Its totient is φ = 11045376.

The previous prime is 44164979. The next prime is 44165027. The reversal of 44164980 is 8946144.

It is a happy number.

44164980 is a `hidden beast` number, since 4 + 4 + 1 + 649 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 155919 + ... + 156201.

Almost surely, 244164980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44164980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73237920).

44164980 is an abundant number, since it is smaller than the sum of its proper divisors (102310860).

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

44164980 is a wasteful number, since it uses less digits than its factorization.

44164980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44164980 is about 6645.6737807389. The cubic root of 44164980 is about 353.4755232471.

The spelling of 44164980 in words is "forty-four million, one hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 283 289 306 340 459 510 540 566 578 612 765 849 867 918 1020 1132 1156 1415 1445 1530 1698 1734 1836 2295 2547 2601 2830 2890 3060 3396 3468 4245 4335 4590 4811 5094 5202 5660 5780 7641 7803 8490 8670 9180 9622 10188 10404 12735 13005 14433 15282 15606 16980 17340 19244 24055 25470 26010 28866 30564 31212 38205 39015 43299 48110 50940 52020 57732 72165 76410 78030 81787 86598 96220 129897 144330 152820 156060 163574 173196 216495 245361 259794 288660 327148 408935 432990 490722 519588 649485 736083 817870 865980 981444 1226805 1298970 1472166 1635740 2208249 2453610 2597940 2944332 3680415 4416498 4907220 7360830 8832996 11041245 14721660 22082490 44164980