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645646896 = 24334731799
BaseRepresentation
bin100110011110111…
…100101000110000
31122222220021001000
4212132330220300
52310241200041
6144022242000
721666623316
oct4636745060
91588807030
10645646896
113014a6084
12160286300
13a39bb7ab
1461a6a0b6
153ba37bb6
hex267bca30

645646896 has 80 divisors (see below), whose sum is σ = 1892736000. Its totient is φ = 210629952.

The previous prime is 645646877. The next prime is 645646909. The reversal of 645646896 is 698646546.

645646896 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 36203.

It is an arithmetic number, because the mean of its divisors is an integer number (23659200).

Almost surely, 2645646896 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 645646896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946368000).

645646896 is an abundant number, since it is smaller than the sum of its proper divisors (1247089104).

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

645646896 is a wasteful number, since it uses less digits than its factorization.

645646896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31863 (or 31851 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 645646896 is about 25409.5827592662. The cubic root of 645646896 is about 864.3010139430.

The spelling of 645646896 in words is "six hundred forty-five million, six hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 31799 63598 95397 127196 190794 254392 286191 381588 508784 572382 763176 858573 1144764 1494553 1526352 1717146 2289528 2989106 3434292 4483659 4579056 5978212 6868584 8967318 11956424 13450977 13737168 17934636 23912848 26901954 35869272 40352931 53803908 71738544 80705862 107607816 161411724 215215632 322823448 645646896