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3928008 = 2337103227
BaseRepresentation
bin1110111110111111001000
321101120012210
432332333020
52001144013
6220105120
745246630
oct16767710
97346183
103928008
112243197
1213951a0
13a76b86
147436c0
15528cc3
hex3befc8

3928008 has 64 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 1106496.

The previous prime is 3927997. The next prime is 3928013. The reversal of 3928008 is 8008293.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17191 + ... + 17417.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 23928008 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 3928008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690880).

3928008 is an abundant number, since it is smaller than the sum of its proper divisors (7453752).

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

3928008 is a wasteful number, since it uses less digits than its factorization.

3928008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3928008 is about 1981.9202809397. The cubic root of 3928008 is about 157.7819991964.

The spelling of 3928008 in words is "three million, nine hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 227 309 412 454 618 681 721 824 908 1236 1362 1442 1589 1816 2163 2472 2724 2884 3178 4326 4767 5448 5768 6356 8652 9534 12712 17304 19068 23381 38136 46762 70143 93524 140286 163667 187048 280572 327334 491001 561144 654668 982002 1309336 1964004 3928008