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39082368 = 273137829
BaseRepresentation
bin1001010100010…
…1100110000000
32201112120221010
42111011212000
540001113433
63513400520
7653123523
oct225054600
981476833
1039082368
1120074186
1211109140
138134c80
145294bba
15366ee63
hex2545980

39082368 has 64 divisors (see below), whose sum is σ = 111812400. Its totient is φ = 12023808.

The previous prime is 39082361. The next prime is 39082369. The reversal of 39082368 is 86328093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39082361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1078 + ... + 8906.

Almost surely, 239082368 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 39082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55906200).

39082368 is an abundant number, since it is smaller than the sum of its proper divisors (72730032).

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

39082368 is a wasteful number, since it uses less digits than its factorization.

39082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 39082368 is about 6251.5892379458. The cubic root of 39082368 is about 339.3597177101.

The spelling of 39082368 in words is "thirty-nine million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 7829 15658 23487 31316 46974 62632 93948 101777 125264 187896 203554 250528 305331 375792 407108 501056 610662 751584 814216 1002112 1221324 1503168 1628432 2442648 3006336 3256864 4885296 6513728 9770592 13027456 19541184 39082368