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2725870056 = 2337137117579
BaseRepresentation
bin1010001001111001…
…0111100111101000
321000222012112202020
42202132113213220
521040310320211
61130252504440
7124356341010
oct24236274750
97028175666
102725870056
111179756578
12640a7b120
13345973980
141bc048c40
1510e495306
hexa27979e8

2725870056 has 128 divisors (see below), whose sum is σ = 8505907200. Its totient is φ = 708744960.

The previous prime is 2725870039. The next prime is 2725870073. The reversal of 2725870056 is 6500785272.

It is an interprime number because it is at equal distance from previous prime (2725870039) and next prime (2725870073).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146275 + ... + 163853.

It is an arithmetic number, because the mean of its divisors is an integer number (66452400).

Almost surely, 22725870056 is an apocalyptic number.

2725870056 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 2725870056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252953600).

2725870056 is an abundant number, since it is smaller than the sum of its proper divisors (5780037144).

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

2725870056 is a wasteful number, since it uses less digits than its factorization.

2725870056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 2725870056 is about 52209.8655045194. The cubic root of 2725870056 is about 1396.9098605216.

The spelling of 2725870056 in words is "two billion, seven hundred twenty-five million, eight hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1092 1491 1704 1846 1988 2184 2769 2982 3692 3976 5538 5964 6461 7384 11076 11928 12922 17579 19383 22152 25844 35158 38766 51688 52737 70316 77532 105474 123053 140632 155064 210948 228527 246106 369159 421896 457054 492212 685581 738318 914108 984424 1248109 1371162 1476636 1599689 1828216 2496218 2742324 2953272 3199378 3744327 4799067 4992436 5484648 6398756 7488654 8736763 9598134 9984872 12797512 14977308 16225417 17473526 19196268 26210289 29954616 32450834 34947052 38392536 48676251 52420578 64901668 69894104 97352502 104841156 113577919 129803336 194705004 209682312 227155838 340733757 389410008 454311676 681467514 908623352 1362935028 2725870056