Search a number
-
+
2555606046 = 237537315727
BaseRepresentation
bin1001100001010011…
…0111010000011110
320121002211020102210
42120110313100132
520213213343141
61101331301250
7120221202330
oct23024672036
96532736383
102555606046
1110a1633714
125b3a4a826
133195cb436
141a35a7450
15ee561916
hex9853741e

2555606046 has 64 divisors (see below), whose sum is σ = 6033512448. Its totient is φ = 706537728.

The previous prime is 2555606023. The next prime is 2555606069. The reversal of 2555606046 is 6406065552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2555606023) and next prime (2555606069).

It is a super-2 number, since 2×25556060462 = 13062244524703508232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2555605995 and 2555606013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154635 + ... + 170361.

It is an arithmetic number, because the mean of its divisors is an integer number (94273632).

Almost surely, 22555606046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555606046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016756224).

2555606046 is an abundant number, since it is smaller than the sum of its proper divisors (3477906402).

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

2555606046 is a wasteful number, since it uses less digits than its factorization.

2555606046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15865.

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 2555606046 is about 50553.0023440745. The cubic root of 2555606046 is about 1367.1976470829.

The spelling of 2555606046 in words is "two billion, five hundred fifty-five million, six hundred six thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 53 73 106 146 159 219 318 371 438 511 742 1022 1113 1533 2226 3066 3869 7738 11607 15727 23214 27083 31454 47181 54166 81249 94362 110089 162498 220178 330267 660534 833531 1148071 1667062 2296142 2500593 3444213 5001186 5834717 6888426 8036497 11669434 16072994 17504151 24109491 35008302 48218982 60847763 121695526 182543289 365086578 425934341 851868682 1277803023 2555606046