Search a number
-
+
2850531264 = 2634778553
BaseRepresentation
bin1010100111100111…
…1010011111000000
321100122202222210000
42221321322133000
521314214000024
61150504440000
7130432054530
oct25171723700
97318688700
102850531264
111233061369
12676779000
133657403b9
141d08194c0
1511a3bbcc9
hexa9e7a7c0

2850531264 has 140 divisors (see below), whose sum is σ = 9657114544. Its totient is φ = 814427136.

The previous prime is 2850531227. The next prime is 2850531269. The reversal of 2850531264 is 4621350582.

2850531264 is a `hidden beast` number, since 28 + 505 + 3 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850531269) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2989 + ... + 75564.

Almost surely, 22850531264 is an apocalyptic number.

2850531264 is a gapful number since it is divisible by the number (24) 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 2850531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828557272).

2850531264 is an abundant number, since it is smaller than the sum of its proper divisors (6806583280).

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

2850531264 is an equidigital number, since it uses as much as digits as its factorization.

2850531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78584 (or 78565 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2850531264 is about 53390.3667715441. The cubic root of 2850531264 is about 1417.8880301603. Note that the first 3 decimals are identical.

The spelling of 2850531264 in words is "two billion, eight hundred fifty million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 78553 157106 235659 314212 471318 549871 628424 706977 942636 1099742 1256848 1413954 1649613 1885272 2120931 2199484 2513696 2827908 3299226 3770544 4241862 4398968 4948839 5027392 5655816 6362793 6598452 7541088 8483724 8797936 9897678 11311632 12725586 13196904 14846517 15082176 16967448 17595872 19795356 22623264 25451172 26393808 29693034 33934896 35191744 39590712 44539551 45246528 50902344 52787616 59386068 67869792 79181424 89079102 101804688 105575232 118772136 135739584 158362848 178158204 203609376 237544272 316725696 356316408 407218752 475088544 712632816 950177088 1425265632 2850531264