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664324752 = 243721321727
BaseRepresentation
bin100111100110001…
…100101010010000
31201022001012020110
4213212030222100
52330031343002
6145530441320
722314444600
oct4746145220
91638035213
10664324752
11310aa3023
12166593240
13a782b190
146432cc00
153d4c6e6c
hex2798ca90

664324752 has 120 divisors (see below), whose sum is σ = 2150029056. Its totient is φ = 175198464.

The previous prime is 664324693. The next prime is 664324757. The reversal of 664324752 is 257423466.

It is a super-2 number, since 2×6643247522 = 882654752239723008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 664324752.

It is not an unprimeable number, because it can be changed into a prime (664324757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19713 + ... + 41439.

Almost surely, 2664324752 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 664324752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075014528).

664324752 is an abundant number, since it is smaller than the sum of its proper divisors (1485704304).

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

664324752 is a wasteful number, since it uses less digits than its factorization.

664324752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21765 (or 21752 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 664324752 is about 25774.4980940464. The cubic root of 664324752 is about 872.5563391397.

The spelling of 664324752 in words is "six hundred sixty-four million, three hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 21727 30576 43454 65181 86908 130362 152089 173816 260724 282451 304178 347632 456267 521448 564902 608356 847353 912534 1042896 1064623 1129804 1216712 1694706 1825068 1977157 2129246 2259608 2433424 3193869 3389412 3650136 3954314 4258492 4519216 5931471 6387738 6778824 7300272 7908628 8516984 11862942 12775476 13557648 13840099 15817256 17033968 23725884 25550952 27680198 31634512 41520297 47451768 51101904 55360396 83040594 94903536 110720792 166081188 221441584 332162376 664324752