Search a number
-
+
644427168 = 25371187179
BaseRepresentation
bin100110011010010…
…010110110100000
31122220121021212220
4212122102312200
52304433132133
6143540151040
721653353260
oct4632226640
91586537786
10644427168
11300842740
1215b998480
13a3682568
146182d7a0
153b8965b3
hex26692da0

644427168 has 96 divisors (see below), whose sum is σ = 2109058560. Its totient is φ = 167381760.

The previous prime is 644427139. The next prime is 644427191. The reversal of 644427168 is 861724446.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

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, 36198 + ... + 50981.

It is an arithmetic number, because the mean of its divisors is an integer number (21969360).

Almost surely, 2644427168 is an apocalyptic number.

It is an amenable number.

644427168 is an abundant number, since it is smaller than the sum of its proper divisors (1464631392).

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

644427168 is a wasteful number, since it uses less digits than its factorization.

644427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87210 (or 87202 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 644427168 is about 25385.5700743552. The cubic root of 644427168 is about 863.7564042353.

The spelling of 644427168 in words is "six hundred forty-four million, four hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 87179 174358 261537 348716 523074 610253 697432 958969 1046148 1220506 1394864 1830759 1917938 2092296 2441012 2789728 2876907 3661518 3835876 4184592 4882024 5753814 6712783 7323036 7671752 8369184 9764048 11507628 13425566 14646072 15343504 19528096 20138349 23015256 26851132 29292144 30687008 40276698 46030512 53702264 58584288 80553396 92061024 107404528 161106792 214809056 322213584 644427168