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2645925632 = 2872336337
BaseRepresentation
bin1001110110110101…
…1001111100000000
320211101202221121122
42131231121330000
520404324110012
61114315211412
7122365665620
oct23555317400
96741687548
102645925632
1111386130a9
1261a146b68
1333223298c
141b1598880
15107452e72
hex9db59f00

2645925632 has 72 divisors (see below), whose sum is σ = 6062880096. Its totient is φ = 1128923136.

The previous prime is 2645925629. The next prime is 2645925637. The reversal of 2645925632 is 2365295462.

2645925632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645925637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414368 + ... + 420704.

It is an arithmetic number, because the mean of its divisors is an integer number (84206668).

Almost surely, 22645925632 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 2645925632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031440048).

2645925632 is an abundant number, since it is smaller than the sum of its proper divisors (3416954464).

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

2645925632 is an equidigital number, since it uses as much as digits as its factorization.

2645925632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6579 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The square root of 2645925632 is about 51438.5617217278. The cubic root of 2645925632 is about 1383.1179294868.

The spelling of 2645925632 in words is "two billion, six hundred forty-five million, nine hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 256 448 466 896 932 1631 1792 1864 3262 3728 6337 6524 7456 12674 13048 14912 25348 26096 29824 44359 50696 52192 59648 88718 101392 104384 177436 202784 208768 354872 405568 417536 709744 811136 1419488 1476521 1622272 2838976 2953042 5677952 5906084 10335647 11355904 11812168 20671294 23624336 41342588 47248672 82685176 94497344 165370352 188994688 330740704 377989376 661481408 1322962816 2645925632