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44979144 = 23371715749
BaseRepresentation
bin1010101110010…
…1001111001000
310010122011210020
42223211033020
543003313034
64244020440
71054213350
oct253451710
9103564706
1044979144
1123431551
1213091720
13941aca2
145d8bb60
153e37249
hex2ae53c8

44979144 has 64 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 12094464.

The previous prime is 44979113. The next prime is 44979157. The reversal of 44979144 is 44197944.

44979144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 44979096 and 44979105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019 + ... + 10730.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 244979144 is an apocalyptic number.

It is an amenable number.

44979144 is an abundant number, since it is smaller than the sum of its proper divisors (91100856).

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

44979144 is a wasteful number, since it uses less digits than its factorization.

44979144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15778 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 44979144 is about 6706.6492378833. The cubic root of 44979144 is about 355.6343719082.

The spelling of 44979144 in words is "forty-four million, nine hundred seventy-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 15749 31498 47247 62996 94494 110243 125992 188988 220486 267733 330729 377976 440972 535466 661458 803199 881944 1070932 1322916 1606398 1874131 2141864 2645832 3212796 3748262 5622393 6425592 7496524 11244786 14993048 22489572 44979144