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3115488 = 253172383
BaseRepresentation
bin1011111000100111100000
312212021122110
423320213200
51244143423
6150435320
735324025
oct13704740
95767573
103115488
111838792
121062b40
138510ac
145b154c
15418193
hex2f89e0

3115488 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 923648.

The previous prime is 3115481. The next prime is 3115493. The reversal of 3115488 is 8845113.

3115488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (3840) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115481) 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 15 ways as a sum of consecutive naturals, for example, 37495 + ... + 37577.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 23115488 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 3115488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3115488 is an abundant number, since it is smaller than the sum of its proper divisors (6029088).

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

3115488 is a wasteful number, since it uses less digits than its factorization.

3115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 3115488 is about 1765.0745026769. The cubic root of 3115488 is about 146.0523987813.

The spelling of 3115488 in words is "three million, one hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 83 92 96 102 136 138 166 184 204 249 272 276 332 368 391 408 498 544 552 664 736 782 816 996 1104 1173 1328 1411 1564 1632 1909 1992 2208 2346 2656 2822 3128 3818 3984 4233 4692 5644 5727 6256 7636 7968 8466 9384 11288 11454 12512 15272 16932 18768 22576 22908 30544 32453 33864 37536 45152 45816 61088 64906 67728 91632 97359 129812 135456 183264 194718 259624 389436 519248 778872 1038496 1557744 3115488