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2056536042 = 2311471135867
BaseRepresentation
bin111101010010100…
…0011111111101010
312022022201212002120
41322211003333222
513202433123132
6540022412110
7101651160621
oct17245037752
95268655076
102056536042
11965951a70
12494891036
1326a0b0742
141571b46b8
15c082e02c
hex7a943fea

2056536042 has 64 divisors (see below), whose sum is σ = 4623796224. Its totient is φ = 604432640.

The previous prime is 2056535981. The next prime is 2056536047. The reversal of 2056536042 is 2406356502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2056535994 and 2056536012.

It is not an unprimeable number, because it can be changed into a prime (2056536047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347593 + ... + 353459.

It is an arithmetic number, because the mean of its divisors is an integer number (72246816).

Almost surely, 22056536042 is an apocalyptic number.

2056536042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056536042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311898112).

2056536042 is an abundant number, since it is smaller than the sum of its proper divisors (2567260182).

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

2056536042 is a wasteful number, since it uses less digits than its factorization.

2056536042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043.

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2056536042 is about 45349.0467595516. The cubic root of 2056536042 is about 1271.6827347951.

The spelling of 2056536042 in words is "two billion, fifty-six million, five hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 113 141 226 282 339 517 678 1034 1243 1551 2486 3102 3729 5311 5867 7458 10622 11734 15933 17601 31866 35202 58421 64537 116842 129074 175263 193611 275749 350526 387222 551498 662971 827247 1325942 1654494 1988913 3033239 3977826 6066478 7292681 9099717 14585362 18199434 21878043 31159637 43756086 62319274 93478911 186957822 342756007 685512014 1028268021 2056536042