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3989952 = 26332309
BaseRepresentation
bin1111001110000111000000
321111201012000
433032013000
52010134302
6221304000
745625341
oct17160700
97451160
103989952
11228578a
121405000
13a99125
1475c0c8
1553c31c
hex3ce1c0

3989952 has 56 divisors (see below), whose sum is σ = 11734800. Its totient is φ = 1329408.

The previous prime is 3989941. The next prime is 3989957. The reversal of 3989952 is 2599893.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3989898 and 3989907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989957) 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, 574 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (209550).

Almost surely, 23989952 is an apocalyptic number.

3989952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867400).

3989952 is an abundant number, since it is smaller than the sum of its proper divisors (7744848).

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

3989952 is a wasteful number, since it uses less digits than its factorization.

3989952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

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

The square root of 3989952 is about 1997.4864204795. The cubic root of 3989952 is about 158.6070753628.

The spelling of 3989952 in words is "three million, nine hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2309 4618 6927 9236 13854 18472 20781 27708 36944 41562 55416 62343 73888 83124 110832 124686 147776 166248 221664 249372 332496 443328 498744 664992 997488 1329984 1994976 3989952