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44149680 = 24325173607
BaseRepresentation
bin1010100001101…
…0101110110000
310002002000222100
42220122232300
542300242210
64214140400
71044160161
oct250325660
9102060870
1044149680
1122a15343
1212951700
1391ba593
145c13768
153d215c0
hex2a1abb0

44149680 has 120 divisors (see below), whose sum is σ = 157034592. Its totient is φ = 11077632.

The previous prime is 44149669. The next prime is 44149709. The reversal of 44149680 is 8694144.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10437 + ... + 14043.

Almost surely, 244149680 is an apocalyptic number.

44149680 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 44149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517296).

44149680 is an abundant number, since it is smaller than the sum of its proper divisors (112884912).

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

44149680 is a wasteful number, since it uses less digits than its factorization.

44149680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3634 counting only the distinct ones).

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

The square root of 44149680 is about 6644.5225562112. The cubic root of 44149680 is about 353.4347005550.

The spelling of 44149680 in words is "forty-four million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 3607 4080 6120 7214 10821 12240 14428 18035 21642 28856 32463 36070 43284 54105 57712 61319 64926 72140 86568 108210 122638 129852 144280 162315 173136 183957 216420 245276 259704 288560 306595 324630 367914 432840 490552 519408 551871 613190 649260 735828 865680 919785 981104 1103742 1226380 1298520 1471656 1839570 2207484 2452760 2597040 2759355 2943312 3679140 4414968 4905520 5518710 7358280 8829936 11037420 14716560 22074840 44149680