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5901056 = 2873789
BaseRepresentation
bin10110100000101100000000
3102002210201122
4112200230000
53002313211
6330251412
7101105150
oct26405400
912083648
105901056
113370607
121b86b68
1312b7c65
14ad8760
157b86db
hex5a0b00

5901056 has 72 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 2433024.

The previous prime is 5901047. The next prime is 5901061. The reversal of 5901056 is 6501095.

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, 66260 + ... + 66348.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 25901056 is an apocalyptic number.

5901056 is a gapful number since it is divisible by the number (56) 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 5901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

5901056 is an abundant number, since it is smaller than the sum of its proper divisors (8079904).

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

5901056 is an equidigital number, since it uses as much as digits as its factorization.

5901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 5901056 is about 2429.2089247325. The cubic root of 5901056 is about 180.7076668490.

The spelling of 5901056 in words is "five million, nine hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 89 112 128 148 178 224 256 259 296 356 448 518 592 623 712 896 1036 1184 1246 1424 1792 2072 2368 2492 2848 3293 4144 4736 4984 5696 6586 8288 9472 9968 11392 13172 16576 19936 22784 23051 26344 33152 39872 46102 52688 66304 79744 92204 105376 159488 184408 210752 368816 421504 737632 843008 1475264 2950528 5901056