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3948864 = 263131157
BaseRepresentation
bin1111000100000101000000
321102121211020
433010011000
52002330424
6220345440
745364503
oct17040500
97377736
103948864
112257927
1213a5280
13a8350a
1474b13a
15530079
hex3c4140

3948864 has 56 divisors (see below), whose sum is σ = 10594848. Its totient is φ = 1297920.

The previous prime is 3948859. The next prime is 3948881. The reversal of 3948864 is 4688493.

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 7 ways as a sum of consecutive naturals, for example, 25074 + ... + 25230.

Almost surely, 23948864 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 3948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297424).

3948864 is an abundant number, since it is smaller than the sum of its proper divisors (6645984).

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

3948864 is a wasteful number, since it uses less digits than its factorization.

3948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3948864 is about 1987.1748790683. The cubic root of 3948864 is about 158.0607574910.

The spelling of 3948864 in words is "three million, nine hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 157 192 262 314 393 471 524 628 786 942 1048 1256 1572 1884 2096 2512 3144 3768 4192 5024 6288 7536 8384 10048 12576 15072 20567 25152 30144 41134 61701 82268 123402 164536 246804 329072 493608 658144 987216 1316288 1974432 3948864