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645641004 = 223236613539
BaseRepresentation
bin100110011110111…
…011001100101100
31122222212221221210
4212132323030230
52310241003004
6144022154420
721666600201
oct4636731454
91588787853
10645641004
113014a1708
12160282a10
13a39b8bc8
1461a67ca8
153ba36089
hex267bb32c

645641004 has 48 divisors (see below), whose sum is σ = 1574818560. Its totient is φ = 205487040.

The previous prime is 645640921. The next prime is 645641041. The reversal of 645641004 is 400146546.

It is a super-2 number, since 2×6456410042 = 833704612092256032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180667 + ... + 184205.

It is an arithmetic number, because the mean of its divisors is an integer number (32808720).

Almost surely, 2645641004 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 645641004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787409280).

645641004 is an abundant number, since it is smaller than the sum of its proper divisors (929177556).

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

645641004 is a wasteful number, since it uses less digits than its factorization.

645641004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 645641004 is about 25409.4668184911. The cubic root of 645641004 is about 864.2983848088.

The spelling of 645641004 in words is "six hundred forty-five million, six hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 661 1322 1983 2644 3539 3966 7078 7932 10617 14156 15203 21234 30406 42468 45609 60812 81397 91218 162794 182436 244191 325588 488382 976764 2339279 4678558 7017837 9357116 14035674 28071348 53803417 107606834 161410251 215213668 322820502 645641004