Search a number
-
+
6364672 = 2931401
BaseRepresentation
bin11000010001111000000000
3102222100200121
4120101320000
53112132142
6344230024
7105045616
oct30217000
912870617
106364672
113657966
12216b314
13141aca2
14bb96b6
1585ac67
hex611e00

6364672 has 40 divisors (see below), whose sum is σ = 13159872. Its totient is φ = 3072000.

The previous prime is 6364663. The next prime is 6364691. The reversal of 6364672 is 2764636.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15672 + ... + 16072.

Almost surely, 26364672 is an apocalyptic number.

6364672 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579936).

6364672 is an abundant number, since it is smaller than the sum of its proper divisors (6795200).

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

6364672 is an equidigital number, since it uses as much as digits as its factorization.

6364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 6364672 is about 2522.8301567882. The cubic root of 6364672 is about 185.3213018891.

The spelling of 6364672 in words is "six million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 401 496 512 802 992 1604 1984 3208 3968 6416 7936 12431 12832 15872 24862 25664 49724 51328 99448 102656 198896 205312 397792 795584 1591168 3182336 6364672