Search a number
-
+
5054552256 = 2631315113411
BaseRepresentation
bin1001011010100011…
…00101100011000000
3111001021000212012010
410231101211203000
540322431133011
62153320332520
7236153661645
oct45521454300
914037025163
105054552256
112164187a16
12b90914140
1362724c030
1435d421dcc
151e8b301a6
hex12d4658c0

5054552256 has 112 divisors (see below), whose sum is σ = 14498693888. Its totient is φ = 1544832000.

The previous prime is 5054552219. The next prime is 5054552257. The reversal of 5054552256 is 6522554505.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5054552257) 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, 370191 + ... + 383601.

It is an arithmetic number, because the mean of its divisors is an integer number (129452624).

Almost surely, 25054552256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249346944).

5054552256 is an abundant number, since it is smaller than the sum of its proper divisors (9444141632).

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

5054552256 is a wasteful number, since it uses less digits than its factorization.

5054552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 39.

The square root of 5054552256 is about 71095.3743643002. The cubic root of 5054552256 is about 1716.1723355916.

The spelling of 5054552256 in words is "five billion, fifty-four million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 151 156 192 208 302 312 416 453 604 624 832 906 1208 1248 1812 1963 2416 2496 3624 3926 4832 5889 7248 7852 9664 11778 13411 14496 15704 23556 26822 28992 31408 40233 47112 53644 62816 80466 94224 107288 125632 160932 174343 188448 214576 321864 348686 376896 429152 523029 643728 697372 858304 1046058 1287456 1394744 2025061 2092116 2574912 2789488 4050122 4184232 5578976 6075183 8100244 8368464 11157952 12150366 16200488 16736928 24300732 26325793 32400976 33473856 48601464 52651586 64801952 78977379 97202928 105303172 129603904 157954758 194405856 210606344 315909516 388811712 421212688 631819032 842425376 1263638064 1684850752 2527276128 5054552256