Search a number
-
+
4124934 = 2321183251
BaseRepresentation
bin1111101111000100000110
321202120100100
433233010012
52023444214
6224224530
750030022
oct17570406
97676310
104124934
112368140
12146b146
13b156b8
14795382
15567309
hex3ef106

4124934 has 48 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1230000.

The previous prime is 4124929. The next prime is 4124951. The reversal of 4124934 is 4394214.

It is a junction number, because it is equal to n+sod(n) for n = 4124898 and 4124907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16309 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 24124934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

4124934 is an abundant number, since it is smaller than the sum of its proper divisors (5781690).

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

4124934 is a wasteful number, since it uses less digits than its factorization.

4124934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4124934 is about 2030.9933530172. The cubic root of 4124934 is about 160.3758611527.

Adding to 4124934 its sum of digits (27), we get a square (4124961 = 20312).

The spelling of 4124934 in words is "four million, one hundred twenty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 251 498 502 747 753 913 1494 1506 1826 2259 2739 2761 4518 5478 5522 8217 8283 16434 16566 20833 24849 41666 49698 62499 124998 187497 229163 374994 458326 687489 1374978 2062467 4124934