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39139344 = 2432475783
BaseRepresentation
bin1001010101001…
…1100000010000
32201122111002100
42111103200100
540004424334
63514520400
7653451606
oct225234020
981574070
1039139344
1120102a72
1211136100
138154b9a
1452ab876
153681c99
hex2553810

39139344 has 60 divisors (see below), whose sum is σ = 111885696. Its totient is φ = 12766656.

The previous prime is 39139339. The next prime is 39139349. The reversal of 39139344 is 44393193.

39139344 = T191 + T192 + ... + T622.

It is an interprime number because it is at equal distance from previous prime (39139339) and next prime (39139349).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 39139299 and 39139308.

It is not an unprimeable number, because it can be changed into a prime (39139349) 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, 3877 + ... + 9659.

Almost surely, 239139344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39139344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55942848).

39139344 is an abundant number, since it is smaller than the sum of its proper divisors (72746352).

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

39139344 is a wasteful number, since it uses less digits than its factorization.

39139344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5835 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 39139344 is about 6256.1444996100. The cubic root of 39139344 is about 339.5245488252.

The spelling of 39139344 in words is "thirty-nine million, one hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 5783 6768 11566 17349 23132 34698 46264 52047 69396 92528 104094 138792 208188 271801 277584 416376 543602 815403 832752 1087204 1630806 2174408 2446209 3261612 4348816 4892418 6523224 9784836 13046448 19569672 39139344