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39890952 = 23321813061
BaseRepresentation
bin1001100000101…
…1000000001000
32210001200002200
42120023000020
540203002302
63543000200
7663032103
oct230130010
983050080
1039890952
1120576732
1211439060
13835901a
14542573a
15377e81c
hex260b008

39890952 has 48 divisors (see below), whose sum is σ = 108670380. Its totient is φ = 13219200.

The previous prime is 39890951. The next prime is 39890969. The reversal of 39890952 is 25909893.

It can be written as a sum of positive squares in 2 ways, for example, as 39765636 + 125316 = 6306^2 + 354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39890898 and 39890907.

It is not an unprimeable number, because it can be changed into a prime (39890951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11502 + ... + 14562.

Almost surely, 239890952 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 39890952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54335190).

39890952 is an abundant number, since it is smaller than the sum of its proper divisors (68779428).

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

39890952 is a wasteful number, since it uses less digits than its factorization.

39890952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 39890952 is about 6315.9284353134. The cubic root of 39890952 is about 341.6841240601.

The spelling of 39890952 in words is "thirty-nine million, eight hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3061 3258 4344 6122 6516 9183 12244 13032 18366 24488 27549 36732 55098 73464 110196 220392 554041 1108082 1662123 2216164 3324246 4432328 4986369 6648492 9972738 13296984 19945476 39890952