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3890656 = 257111579
BaseRepresentation
bin1110110101110111100000
321022122222101
432311313200
51444000111
6215220144
745033010
oct16656740
97278871
103890656
112218120
121377654
13a62b83
14733c40
1551cbc1
hex3b5de0

3890656 has 48 divisors (see below), whose sum is σ = 9555840. Its totient is φ = 1514880.

The previous prime is 3890651. The next prime is 3890659. The reversal of 3890656 is 6560983.

It is a super-2 number, since 2×38906562 = 30274408220672, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 3890656 parts by 2789 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1675 + ... + 3253.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 23890656 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 3890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920).

3890656 is an abundant number, since it is smaller than the sum of its proper divisors (5665184).

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

3890656 is a wasteful number, since it uses less digits than its factorization.

3890656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 3890656 is about 1972.4745879225. The cubic root of 3890656 is about 157.2802815164.

The spelling of 3890656 in words is "three million, eight hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1579 2464 3158 6316 11053 12632 17369 22106 25264 34738 44212 50528 69476 88424 121583 138952 176848 243166 277904 353696 486332 555808 972664 1945328 3890656