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39221136 = 2432272369
BaseRepresentation
bin1001010110011…
…1011110010000
32201210122021200
42111213132100
540020034021
63520351200
7654242223
oct225473620
981718250
1039221136
1120159469
1211175500
138183196
1452cd5ba
15369b126
hex2567790

39221136 has 30 divisors (see below), whose sum is σ = 109765110. Its totient is φ = 13073664.

The previous prime is 39221099. The next prime is 39221153. The reversal of 39221136 is 63112293.

39221136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 4928400 = 5856^2 + 2220^2 .

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 136041 + ... + 136328.

It is an arithmetic number, because the mean of its divisors is an integer number (3658837).

Almost surely, 239221136 is an apocalyptic number.

39221136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39221136 is an abundant number, since it is smaller than the sum of its proper divisors (70543974).

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

39221136 is a wasteful number, since it uses less digits than its factorization.

39221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272383 (or 272374 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 39221136 is about 6262.6780214218. The cubic root of 39221136 is about 339.7608930164.

It can be divided in two parts, 392 and 21136, that added together give a triangular number (21528 = T207).

The spelling of 39221136 in words is "thirty-nine million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 272369 544738 817107 1089476 1634214 2178952 2451321 3268428 4357904 4902642 6536856 9805284 13073712 19610568 39221136