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5585535256 = 2372914092441
BaseRepresentation
bin1010011001110110…
…01000000100011000
3112102021011120221011
411030323020010120
542414344112011
62322125223304
7255262160230
oct51473100430
915367146834
105585535256
112406986344
1210ba701b34
136b0261662
143adb60cc0
1522a568621
hex14cec8118

5585535256 has 64 divisors (see below), whose sum is σ = 12395592000. Its totient is φ = 2308669440.

The previous prime is 5585535253. The next prime is 5585535259. The reversal of 5585535256 is 6525355855.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5585535253) and next prime (5585535259).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585535253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286996 + ... + 2289436.

It is an arithmetic number, because the mean of its divisors is an integer number (193681125).

Almost surely, 25585535256 is an apocalyptic number.

5585535256 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 5585535256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197796000).

5585535256 is an abundant number, since it is smaller than the sum of its proper divisors (6810056744).

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

5585535256 is a wasteful number, since it uses less digits than its factorization.

5585535256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3888 counting only the distinct ones).

The product of its digits is 4500000, while the sum is 49.

The square root of 5585535256 is about 74736.4386092888. The cubic root of 5585535256 is about 1774.2777203877.

The spelling of 5585535256 in words is "five billion, five hundred eighty-five million, five hundred thirty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1409 1624 2441 2818 4882 5636 9764 9863 11272 17087 19528 19726 34174 39452 40861 68348 70789 78904 81722 136696 141578 163444 283156 286027 326888 495523 566312 572054 991046 1144108 1982092 2288216 3439369 3964184 6878738 13757476 24075583 27514952 48151166 96302332 99741701 192604664 199483402 398966804 698191907 797933608 1396383814 2792767628 5585535256