Search a number
-
+
32630464 = 264371167
BaseRepresentation
bin111110001111…
…0011011000000
32021101210120201
41330132123000
531323133324
63123214544
7544232356
oct174363300
967353521
1032630464
1117467829
12ab17454
1369b6389
1444957d6
152ce8444
hex1f1e6c0

32630464 has 56 divisors (see below), whose sum is σ = 67592448. Its totient is φ = 15617280.

The previous prime is 32630459. The next prime is 32630473. The reversal of 32630464 is 46403623.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 195309 + ... + 195475.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 232630464 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 32630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33796224).

32630464 is an abundant number, since it is smaller than the sum of its proper divisors (34961984).

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

32630464 is a wasteful number, since it uses less digits than its factorization.

32630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 32630464 is about 5712.3081149392. The cubic root of 32630464 is about 319.5516638184.

The spelling of 32630464 in words is "thirty-two million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 71 86 142 167 172 284 334 344 568 668 688 1136 1336 1376 2272 2672 2752 3053 4544 5344 6106 7181 10688 11857 12212 14362 23714 24424 28724 47428 48848 57448 94856 97696 114896 189712 195392 229792 379424 459584 509851 758848 1019702 2039404 4078808 8157616 16315232 32630464