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39068928 = 283231547
BaseRepresentation
bin1001010100001…
…0010100000000
32201111220111100
42111002110000
540000201203
63513214400
7653036403
oct225022400
981456440
1039068928
1120065078
1211101400
13812bb12
14528dd3a
15366aea3
hex2542500

39068928 has 108 divisors (see below), whose sum is σ = 116491648. Its totient is φ = 12579840.

The previous prime is 39068899. The next prime is 39068933. The reversal of 39068928 is 82986093.

It is a super-2 number, since 2×390689282 = 3052762270138368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 71151 + ... + 71697.

Almost surely, 239068928 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 39068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58245824).

39068928 is an abundant number, since it is smaller than the sum of its proper divisors (77422720).

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

39068928 is a wasteful number, since it uses less digits than its factorization.

39068928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39068928 is about 6250.5142188463. The cubic root of 39068928 is about 339.3208125484.

The spelling of 39068928 in words is "thirty-nine million, sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 547 558 576 744 768 992 1094 1116 1152 1488 1641 1984 2188 2232 2304 2976 3282 3968 4376 4464 4923 5952 6564 7936 8752 8928 9846 11904 13128 16957 17504 17856 19692 23808 26256 33914 35008 35712 39384 50871 52512 67828 70016 71424 78768 101742 105024 135656 140032 152613 157536 203484 210048 271312 305226 315072 406968 420096 542624 610452 630144 813936 1085248 1220904 1260288 1627872 2170496 2441808 3255744 4340992 4883616 6511488 9767232 13022976 19534464 39068928