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44142384 = 243111359109
BaseRepresentation
bin1010100001100…
…0111100110000
310002001122222010
42220120330300
542300024014
64214042520
71044126666
oct250307460
9102048863
1044142384
1122a0a910
1212949440
1391b7170
145c10c36
153d1e359
hex2a18f30

44142384 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 12026880.

The previous prime is 44142383. The next prime is 44142389. The reversal of 44142384 is 48324144.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44142383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404922 + ... + 405030.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 244142384 is an apocalyptic number.

44142384 is a gapful number since it is divisible by the number (44) 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 44142384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

44142384 is an abundant number, since it is smaller than the sum of its proper divisors (93348816).

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

44142384 is a wasteful number, since it uses less digits than its factorization.

44142384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 44142384 is about 6643.9735098810. The cubic root of 44142384 is about 353.4152304129.

The spelling of 44142384 in words is "forty-four million, one hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 59 66 78 88 104 109 118 132 143 156 176 177 208 218 236 264 286 312 327 354 429 436 472 528 572 624 649 654 708 767 858 872 944 1144 1199 1298 1308 1416 1417 1534 1716 1744 1947 2288 2301 2398 2596 2616 2832 2834 3068 3432 3597 3894 4251 4602 4796 5192 5232 5668 6136 6431 6864 7194 7788 8437 8502 9204 9592 10384 11336 12272 12862 14388 15576 15587 16874 17004 18408 19184 19293 22672 25311 25724 28776 31152 31174 33748 34008 36816 38586 46761 50622 51448 57552 62348 67496 68016 70741 77172 83603 93522 101244 102896 124696 134992 141482 154344 167206 187044 202488 212223 249392 250809 282964 308688 334412 374088 404976 424446 501618 565928 668824 748176 848892 919633 1003236 1131856 1337648 1697784 1839266 2006472 2758899 3395568 3678532 4012944 5517798 7357064 11035596 14714128 22071192 44142384