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6381972 = 2232296113
BaseRepresentation
bin11000010110000110010100
3110000020102100
4120112012110
53113210342
6344442100
7105150222
oct30260624
913006370
106381972
113669963
122179330
131425b1c
14bc1b12
15860e4c
hex616194

6381972 has 36 divisors (see below), whose sum is σ = 16691220. Its totient is φ = 2053632.

The previous prime is 6381961. The next prime is 6381979. The reversal of 6381972 is 2791836.

6381972 is a `hidden beast` number, since 638 + 19 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 2944656 = 1854^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2013 + ... + 4100.

It is an arithmetic number, because the mean of its divisors is an integer number (463645).

Almost surely, 26381972 is an apocalyptic number.

It is an amenable number.

6381972 is an abundant number, since it is smaller than the sum of its proper divisors (10309248).

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

6381972 is a wasteful number, since it uses less digits than its factorization.

6381972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6147 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 6381972 is about 2526.2565190416. The cubic root of 6381972 is about 185.4890590583.

The spelling of 6381972 in words is "six million, three hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 6113 12226 18339 24452 36678 55017 73356 110034 177277 220068 354554 531831 709108 1063662 1595493 2127324 3190986 6381972