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6664392 = 2332721889
BaseRepresentation
bin11001011011000011001000
3110112120211100
4121123003020
53201230032
6354501400
7110434500
oct31330310
913476740
106664392
113842069
122294860
1314c4537
14c56a00
158b997c
hex65b0c8

6664392 has 72 divisors (see below), whose sum is σ = 21007350. Its totient is φ = 1903104.

The previous prime is 6664387. The next prime is 6664417. The reversal of 6664392 is 2934666.

It can be written as a sum of positive squares in only one way, i.e., 5731236 + 933156 = 2394^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2584 + ... + 4472.

Almost surely, 26664392 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 6664392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503675).

6664392 is an abundant number, since it is smaller than the sum of its proper divisors (14342958).

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

6664392 is a wasteful number, since it uses less digits than its factorization.

6664392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1901 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6664392 is about 2581.5483725857. The cubic root of 6664392 is about 188.1857979084.

It can be divided in two parts, 6664 and 392, that added together give a square (7056 = 842).

The spelling of 6664392 in words is "six million, six hundred sixty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 1889 3528 3778 5667 7556 11334 13223 15112 17001 22668 26446 34002 39669 45336 52892 68004 79338 92561 105784 119007 136008 158676 185122 238014 277683 317352 370244 476028 555366 740488 833049 952056 1110732 1666098 2221464 3332196 6664392