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4125936 = 243431999
BaseRepresentation
bin1111101111010011110000
321202121201110
433233103300
52024012221
6224233320
750032653
oct17572360
97677643
104125936
112368971
12146b840
13b15ca9
1479589a
15567776
hex3ef4f0

4125936 has 40 divisors (see below), whose sum is σ = 10912000. Its totient is φ = 1342656.

The previous prime is 4125899. The next prime is 4125941. The reversal of 4125936 is 6395214.

It is a d-powerful number, because it can be written as 47 + 1 + 221 + 59 + 9 + 310 + 63 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (272800).

Almost surely, 24125936 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 4125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456000).

4125936 is an abundant number, since it is smaller than the sum of its proper divisors (6786064).

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

4125936 is a wasteful number, since it uses less digits than its factorization.

4125936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2047 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 4125936 is about 2031.2400153601. The cubic root of 4125936 is about 160.3888458941.

The spelling of 4125936 in words is "four million, one hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1999 2064 3998 5997 7996 11994 15992 23988 31984 47976 85957 95952 171914 257871 343828 515742 687656 1031484 1375312 2062968 4125936