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644978484 = 223319271233
BaseRepresentation
bin100110011100011…
…001011100110100
31122221122022011000
4212130121130310
52310103302414
6144000043300
721661140513
oct4634313464
91587568130
10644978484
11301089977
12160003530
13a3816497
146193467a
153b954b09
hex26719734

644978484 has 144 divisors (see below), whose sum is σ = 1797344640. Its totient is φ = 199946880.

The previous prime is 644978483. The next prime is 644978497. The reversal of 644978484 is 484879446.

644978484 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 644978484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644978483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768032 + ... + 2768264.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2644978484 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 644978484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

644978484 is an abundant number, since it is smaller than the sum of its proper divisors (1152366156).

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

644978484 is a wasteful number, since it uses less digits than its factorization.

644978484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 644978484 is about 25396.4265990316. The cubic root of 644978484 is about 864.0026523838.

The spelling of 644978484 in words is "six hundred forty-four million, nine hundred seventy-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 233 284 342 361 426 466 513 639 684 699 722 852 932 1026 1083 1278 1349 1398 1444 1917 2052 2097 2166 2556 2698 2796 3249 3834 4047 4194 4332 4427 5396 6291 6498 7668 8094 8388 8854 9747 12141 12582 12996 13281 16188 16543 17708 19494 24282 25164 25631 26562 33086 36423 38988 39843 48564 49629 51262 53124 66172 72846 76893 79686 84113 99258 102524 119529 145692 148887 153786 159372 168226 198516 230679 239058 252339 297774 307572 314317 336452 446661 461358 478116 504678 595548 628634 692037 757017 893322 922716 942951 1009356 1257268 1384074 1514034 1786644 1885902 2271051 2768148 2828853 3028068 3771804 4542102 5657706 5972023 8486559 9084204 11315412 11944046 16973118 17916069 23888092 33946236 35832138 53748207 71664276 107496414 161244621 214992828 322489242 644978484