Search a number
-
+
213613048 = 231119251509
BaseRepresentation
bin11001011101101…
…11100111111000
3112212221200000101
430232313213320
5414141104143
633110245144
75202452365
oct1456674770
9485850011
10213613048
11aa640710
125b6567b4
133534256c
142052746c
1513b47b4d
hexcbb79f8

213613048 has 64 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 91440000.

The previous prime is 213613027. The next prime is 213613079. The reversal of 213613048 is 840316312.

213613048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 419418 + ... + 419926.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2213613048 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 213613048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

213613048 is an abundant number, since it is smaller than the sum of its proper divisors (249058952).

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

213613048 is a wasteful number, since it uses less digits than its factorization.

213613048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 213613048 is about 14615.5071071790. The cubic root of 213613048 is about 597.7816677034.

The spelling of 213613048 in words is "two hundred thirteen million, six hundred thirteen thousand, forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 251 418 502 509 836 1004 1018 1672 2008 2036 2761 4072 4769 5522 5599 9538 9671 11044 11198 19076 19342 22088 22396 38152 38684 44792 52459 77368 104918 106381 127759 209836 212762 255518 419672 425524 511036 851048 1022072 1405349 2427421 2810698 4854842 5621396 9709684 11242792 19419368 26701631 53403262 106806524 213613048