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3872924 = 2211234389
BaseRepresentation
bin1110110001100010011100
321021202122122
432301202130
51442413144
6215002112
744630216
oct16614234
97252578
103872924
112205870
121369338
13a57a93
1472b5b6
155177ee
hex3b189c

3872924 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1626240.

The previous prime is 3872917. The next prime is 3872929. The reversal of 3872924 is 4292783.

3872924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

Its product of digits (24192) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43472 + ... + 43560.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 23872924 is an apocalyptic number.

It is an amenable number.

3872924 is an abundant number, since it is smaller than the sum of its proper divisors (4110436).

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

3872924 is a wasteful number, since it uses less digits than its factorization.

3872924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 3872924 is about 1967.9745933319. The cubic root of 3872924 is about 157.0409781198.

The spelling of 3872924 in words is "three million, eight hundred seventy-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 22 23 43 44 46 86 89 92 172 178 253 356 473 506 946 979 989 1012 1892 1958 1978 2047 3827 3916 3956 4094 7654 8188 10879 15308 21758 22517 42097 43516 45034 84194 88021 90068 168388 176042 352084 968231 1936462 3872924