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6138832 = 24759929
BaseRepresentation
bin10111011010101111010000
3102112212220011
4113122233100
53032420312
6335324304
7103115320
oct27325720
912485804
106138832
113513217
122080694
13136c25b
14b5b280
15813da7
hex5dabd0

6138832 has 40 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 2583552.

The previous prime is 6138827. The next prime is 6138841. The reversal of 6138832 is 2388316.

It is a junction number, because it is equal to n+sod(n) for n = 6138794 and 6138803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6144 + ... + 7072.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 26138832 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 6138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

6138832 is an abundant number, since it is smaller than the sum of its proper divisors (7699568).

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

6138832 is a wasteful number, since it uses less digits than its factorization.

6138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 6138832 is about 2477.6666442441. Note that the first 4 decimals coincide. The cubic root of 6138832 is about 183.1029112505.

The spelling of 6138832 in words is "six million, one hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 929 944 1652 1858 3304 3716 6503 6608 7432 13006 14864 26012 52024 54811 104048 109622 219244 383677 438488 767354 876976 1534708 3069416 6138832