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2604056 = 23731373
BaseRepresentation
bin1001111011110000011000
311220022002112
421323300120
51131312211
6131451452
731064000
oct11736030
94808075
102604056
111519514
12a56b88
13702380
144bb000
1536688b
hex27bc18

2604056 has 64 divisors (see below), whose sum is σ = 6216000. Its totient is φ = 1016064.

The previous prime is 2604053. The next prime is 2604061. The reversal of 2604056 is 6504062.

2604056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26040562 = 13562215302272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604053) 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, 35636 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (97125).

22604056 is an apocalyptic number.

2604056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108000).

2604056 is an abundant number, since it is smaller than the sum of its proper divisors (3611944).

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

2604056 is a wasteful number, since it uses less digits than its factorization.

2604056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2604056 is about 1613.7087717429. The cubic root of 2604056 is about 137.5783531388.

The spelling of 2604056 in words is "two million, six hundred four thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 182 196 292 343 364 392 511 584 637 686 728 949 1022 1274 1372 1898 2044 2548 2744 3577 3796 4088 4459 5096 6643 7154 7592 8918 13286 14308 17836 25039 26572 28616 35672 46501 50078 53144 93002 100156 186004 200312 325507 372008 651014 1302028 2604056