Search a number
-
+
648956820 = 223511519397
BaseRepresentation
bin100110101011100…
…100101110010100
31200020010102101210
4212223210232110
52312113104240
6144221221420
722040020251
oct4653445624
91606112353
10648956820
11303356956
12161401870
13a45aa225
146228c428
153be8d780
hex26ae4b94

648956820 has 48 divisors (see below), whose sum is σ = 1818851328. Its totient is φ = 172886400.

The previous prime is 648956813. The next prime is 648956843. The reversal of 648956820 is 28659846.

It is a happy number.

648956820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6489568202 = 842289908449024800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 648956820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64362 + ... + 73758.

It is an arithmetic number, because the mean of its divisors is an integer number (37892736).

Almost surely, 2648956820 is an apocalyptic number.

648956820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648956820 is an abundant number, since it is smaller than the sum of its proper divisors (1169894508).

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

648956820 is a wasteful number, since it uses less digits than its factorization.

648956820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 648956820 is about 25474.6309099857. The cubic root of 648956820 is about 865.7754503880.

The spelling of 648956820 in words is "six hundred forty-eight million, nine hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1151 2302 3453 4604 5755 6906 9397 11510 13812 17265 18794 23020 28191 34530 37588 46985 56382 69060 93970 112764 140955 187940 281910 563820 10815947 21631894 32447841 43263788 54079735 64895682 108159470 129791364 162239205 216318940 324478410 648956820