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3925376 = 27713337
BaseRepresentation
bin1110111110010110000000
321101102121022
432332112000
52001103001
6220045012
745236150
oct16762600
97342538
103925376
112241214
121393768
13a75910
14742760
1552811b
hex3be580

3925376 has 64 divisors (see below), whose sum is σ = 9653280. Its totient is φ = 1548288.

The previous prime is 3925373. The next prime is 3925379. The reversal of 3925376 is 6735293.

3925376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3925373) and next prime (3925379).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925373) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11480 + ... + 11816.

Almost surely, 23925376 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 3925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826640).

3925376 is an abundant number, since it is smaller than the sum of its proper divisors (5727904).

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

3925376 is a wasteful number, since it uses less digits than its factorization.

3925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its digits is 34020, while the sum is 35.

The square root of 3925376 is about 1981.2561671828. The cubic root of 3925376 is about 157.7467502007.

The spelling of 3925376 in words is "three million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 337 364 416 448 674 728 832 896 1348 1456 1664 2359 2696 2912 4381 4718 5392 5824 8762 9436 10784 11648 17524 18872 21568 30667 35048 37744 43136 61334 70096 75488 122668 140192 150976 245336 280384 301952 490672 560768 981344 1962688 3925376