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3956064 = 25372292
BaseRepresentation
bin1111000101110101100000
321102222200220
433011311200
52003043224
6220443040
745424500
oct17056540
97388626
103956064
112262282
1213a9480
13a86888
1474da00
15532279
hex3c5d60

3956064 has 108 divisors (see below), whose sum is σ = 12511044. Its totient is φ = 1091328.

The previous prime is 3956059. The next prime is 3956081. The reversal of 3956064 is 4606593.

It is a happy number.

3956064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136402 + ... + 136430.

It is an arithmetic number, because the mean of its divisors is an integer number (115843).

Almost surely, 23956064 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 3956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255522).

3956064 is an abundant number, since it is smaller than the sum of its proper divisors (8554980).

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

3956064 is a wasteful number, since it uses less digits than its factorization.

3956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3956064 is about 1988.9856711399. The cubic root of 3956064 is about 158.1567637086.

The spelling of 3956064 in words is "three million, nine hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 841 928 1176 1218 1392 1421 1568 1624 1682 2352 2436 2523 2784 2842 3248 3364 4263 4704 4872 5046 5684 5887 6496 6728 8526 9744 10092 11368 11774 13456 17052 17661 19488 20184 22736 23548 26912 34104 35322 40368 41209 45472 47096 68208 70644 80736 82418 94192 123627 136416 141288 164836 188384 247254 282576 329672 494508 565152 659344 989016 1318688 1978032 3956064