Search a number
-
+
44418920 = 23571312203
BaseRepresentation
bin1010100101110…
…0011101101000
310002120201022012
42221130131220
542332401140
64224015052
71046361140
oct251343550
9102521265
1044418920
1123089657
1212a61488
139282cb0
145c83920
153d76265
hex2a5c768

44418920 has 64 divisors (see below), whose sum is σ = 123016320. Its totient is φ = 14056704.

The previous prime is 44418893. The next prime is 44418931. The reversal of 44418920 is 2981444.

44418920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2462 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (1922130).

Almost surely, 244418920 is an apocalyptic number.

44418920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44418920 is an abundant number, since it is smaller than the sum of its proper divisors (78597400).

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

44418920 is a wasteful number, since it uses less digits than its factorization.

44418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 44418920 is about 6664.7520584040. The cubic root of 44418920 is about 354.1517006517.

The spelling of 44418920 in words is "forty-four million, four hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 12203 24406 48812 61015 85421 97624 122030 158639 170842 244060 317278 341684 427105 488120 634556 683368 793195 854210 1110473 1269112 1586390 1708420 2220946 3172780 3416840 4441892 5552365 6345560 8883784 11104730 22209460 44418920