Search a number
-
+
2832155136 = 2932614617
BaseRepresentation
bin1010100011001111…
…0100001000000000
321022101012101110200
42220303310020000
521300012431021
61145010525200
7130116631026
oct25063641000
97271171420
102832155136
111223750088
12670596800
133619a8155
141cc1d4716
1511898c126
hexa8cf4200

2832155136 has 60 divisors (see below), whose sum is σ = 8173804782. Its totient is φ = 944050176.

The previous prime is 2832155129. The next prime is 2832155141. The reversal of 2832155136 is 6315512382.

2832155136 is a `hidden beast` number, since 2 + 83 + 21 + 551 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2290196736 + 541958400 = 47856^2 + 23280^2 .

It is a super-2 number, since 2×28321551362 = 16042205428742356992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2832155136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302701 + ... + 311916.

Almost surely, 22832155136 is an apocalyptic number.

It is an amenable number.

2832155136 is an abundant number, since it is smaller than the sum of its proper divisors (5341649646).

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

2832155136 is an equidigital number, since it uses as much as digits as its factorization.

2832155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614641 (or 614622 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2832155136 is about 53217.9963546167. The cubic root of 2832155136 is about 1414.8346247979.

The spelling of 2832155136 in words is "two billion, eight hundred thirty-two million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 19667744 22126212 29501616 39335488 44252424 59003232 78670976 88504848 118006464 157341952 177009696 236012928 314683904 354019392 472025856 708038784 944051712 1416077568 2832155136