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3925632 = 27310223
BaseRepresentation
bin1110111110011010000000
321101102221210
432332122000
52001110012
6220050120
745236664
oct16763200
97342853
103925632
112241427
121393940
13a75a79
147428a4
1552823c
hex3be680

3925632 has 32 divisors (see below), whose sum is σ = 10428480. Its totient is φ = 1308416.

The previous prime is 3925631. The next prime is 3925637. The reversal of 3925632 is 2365293.

3925632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3925632.

It is not an unprimeable number, because it can be changed into a prime (3925631) 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 3 ways as a sum of consecutive naturals, for example, 4728 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (325890).

Almost surely, 23925632 is an apocalyptic number.

3925632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3925632 is an abundant number, since it is smaller than the sum of its proper divisors (6502848).

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

3925632 is a wasteful number, since it uses less digits than its factorization.

3925632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240 (or 10228 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 3925632 is about 1981.3207716067. The cubic root of 3925632 is about 157.7501793661.

The spelling of 3925632 in words is "three million, nine hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10223 20446 30669 40892 61338 81784 122676 163568 245352 327136 490704 654272 981408 1308544 1962816 3925632