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644527044 = 223471914957
BaseRepresentation
bin100110011010101…
…011001111000100
31122220210100220000
4212122223033010
52304444331134
6143542241300
721654250410
oct4632531704
91586710800
10644527044
11300900787
1215ba26230
13a36b8b65
1461857d40
153b8b5e99
hex266ab3c4

644527044 has 120 divisors (see below), whose sum is σ = 2027108160. Its totient is φ = 174446784.

The previous prime is 644527031. The next prime is 644527097. The reversal of 644527044 is 440725446.

644527044 is a `hidden beast` number, since 644 + 5 + 2 + 7 + 0 + 4 + 4 = 666.

644527044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6445270442 = 830830220894755872, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 35614 + ... + 50570.

It is an arithmetic number, because the mean of its divisors is an integer number (16892568).

Almost surely, 2644527044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644527044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013554080).

644527044 is an abundant number, since it is smaller than the sum of its proper divisors (1382581116).

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

644527044 is a wasteful number, since it uses less digits than its factorization.

644527044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14999 (or 14988 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 644527044 is about 25387.5371787025. The cubic root of 644527044 is about 863.8010247823.

It can be divided in two parts, 6445 and 27044, that added together give a square (33489 = 1832).

The spelling of 644527044 in words is "six hundred forty-four million, five hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 14957 21546 29914 43092 44871 59828 89742 104699 134613 179484 209398 269226 284183 314097 403839 418796 538452 568366 628194 807678 852549 942291 1136732 1211517 1256388 1615356 1705098 1884582 1989281 2423034 2557647 2826873 3410196 3769164 3978562 4846068 5115294 5653746 5967843 7672941 7957124 8480619 10230588 11307492 11935686 15345882 16961238 17903529 23018823 23871372 30691764 33922476 35807058 46037646 53710587 71614116 92075292 107421174 161131761 214842348 322263522 644527044