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39428832 = 253410717
BaseRepresentation
bin1001011001101…
…0001011100000
32202012012012010
42112122023200
540043210312
63525032520
7656065602
oct226321340
982165163
1039428832
1120290513
1211255740
138226891
145345172
1536dc93c
hex259a2e0

39428832 has 24 divisors (see below), whose sum is σ = 103500936. Its totient is φ = 13142912.

The previous prime is 39428813. The next prime is 39428861. The reversal of 39428832 is 23882493.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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, 205263 + ... + 205454.

It is an arithmetic number, because the mean of its divisors is an integer number (4312539).

Almost surely, 239428832 is an apocalyptic number.

39428832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39428832 is an abundant number, since it is smaller than the sum of its proper divisors (64072104).

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

39428832 is a wasteful number, since it uses less digits than its factorization.

39428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410730 (or 410722 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 39428832 is about 6279.2381703516. The cubic root of 39428832 is about 340.3595734561.

The spelling of 39428832 in words is "thirty-nine million, four hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 410717 821434 1232151 1642868 2464302 3285736 4928604 6571472 9857208 13142944 19714416 39428832