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3976672 = 25741433
BaseRepresentation
bin1111001010110111100000
321111000222011
433022313200
52004223142
6221122304
745541540
oct17126740
97430864
103976672
112276807
1213b9394
13a9307b
14757320
15538417
hex3cade0

3976672 has 48 divisors (see below), whose sum is σ = 9186912. Its totient is φ = 1658880.

The previous prime is 3976669. The next prime is 3976703. The reversal of 3976672 is 2766793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8968 + ... + 9400.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 23976672 is an apocalyptic number.

3976672 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 3976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593456).

3976672 is an abundant number, since it is smaller than the sum of its proper divisors (5210240).

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

3976672 is a wasteful number, since it uses less digits than its factorization.

3976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 3976672 is about 1994.1594720583. The cubic root of 3976672 is about 158.4309125806.

The spelling of 3976672 in words is "three million, nine hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 433 574 656 866 1148 1312 1732 2296 3031 3464 4592 6062 6928 9184 12124 13856 17753 24248 35506 48496 71012 96992 124271 142024 248542 284048 497084 568096 994168 1988336 3976672