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644264432 = 24761181521
BaseRepresentation
bin100110011001101…
…011000111110000
31122220022000122122
4212121223013300
52304412430212
6143532453412
721652104650
oct4631530760
91586260578
10644264432
11300741449
1215b91a268
13a3626476
14617ca360
153b863272
hex2666b1f0

644264432 has 80 divisors (see below), whose sum is σ = 1460781504. Its totient is φ = 269568000.

The previous prime is 644264417. The next prime is 644264443. The reversal of 644264432 is 234462446.

644264432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 644264392 and 644264401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236332 + ... + 1236852.

Almost surely, 2644264432 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 644264432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730390752).

644264432 is an abundant number, since it is smaller than the sum of its proper divisors (816517072).

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

644264432 is a wasteful number, since it uses less digits than its factorization.

644264432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

The square root of 644264432 is about 25382.3645864604. The cubic root of 644264432 is about 863.6836905121.

The spelling of 644264432 in words is "six hundred forty-four million, two hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 181 244 362 427 488 521 724 854 976 1042 1267 1448 1708 2084 2534 2896 3416 3647 4168 5068 6832 7294 8336 10136 11041 14588 20272 22082 29176 31781 44164 58352 63562 77287 88328 94301 127124 154574 176656 188602 222467 254248 309148 377204 444934 508496 618296 660107 754408 889868 1236592 1320214 1508816 1779736 2640428 3559472 5280856 5752361 10561712 11504722 23009444 40266527 46018888 80533054 92037776 161066108 322132216 644264432