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664292928 = 26313614363
BaseRepresentation
bin100111100110000…
…100111001000000
31201021222120120210
4213212010321000
52330024333203
6145530034120
722314253035
oct4746047100
91637876523
10664292928
11310a81122
12166578940
13a7819850
146432138c
153d4bc803
hex27984e40

664292928 has 112 divisors (see below), whose sum is σ = 1924279616. Its totient is φ = 201000960.

The previous prime is 664292921. The next prime is 664292929. The reversal of 664292928 is 829292466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (664292921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150075 + ... + 154437.

It is an arithmetic number, because the mean of its divisors is an integer number (17181068).

Almost surely, 2664292928 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 664292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962139808).

664292928 is an abundant number, since it is smaller than the sum of its proper divisors (1259986688).

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

664292928 is a wasteful number, since it uses less digits than its factorization.

664292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4442 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 664292928 is about 25773.8807322452. The cubic root of 664292928 is about 872.5424058557.

The spelling of 664292928 in words is "six hundred sixty-four million, two hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 624 732 793 832 976 1248 1464 1586 1952 2379 2496 2928 3172 3904 4363 4758 5856 6344 8726 9516 11712 12688 13089 17452 19032 25376 26178 34904 38064 50752 52356 56719 69808 76128 104712 113438 139616 152256 170157 209424 226876 266143 279232 340314 418848 453752 532286 680628 798429 837696 907504 1064572 1361256 1596858 1815008 2129144 2722512 3193716 3459859 3630016 4258288 5445024 6387432 6919718 8516576 10379577 10890048 12774864 13839436 17033152 20759154 25549728 27678872 41518308 51099456 55357744 83036616 110715488 166073232 221430976 332146464 664292928