Search a number
-
+
821332296 = 2332101311261
BaseRepresentation
bin110000111101001…
…000100101001000
32010020111000002200
4300331020211020
53140230113141
6213300000200
726232131541
oct6075104510
92106430080
10821332296
11391691124
121ab090060
13101211855
147b11d4c8
154c18cab6
hex30f48948

821332296 has 48 divisors (see below), whose sum is σ = 2226835260. Its totient is φ = 273482880.

The previous prime is 821332289. The next prime is 821332301. The reversal of 821332296 is 692233128.

It can be written as a sum of positive squares in 2 ways, for example, as 820822500 + 509796 = 28650^2 + 714^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 821332296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67306 + ... + 78566.

Almost surely, 2821332296 is an apocalyptic number.

It is an amenable number.

821332296 is an abundant number, since it is smaller than the sum of its proper divisors (1405502964).

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

821332296 is a wasteful number, since it uses less digits than its factorization.

821332296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12279 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 821332296 is about 28658.8955823493. The cubic root of 821332296 is about 936.4968050762.

The spelling of 821332296 in words is "eight hundred twenty-one million, three hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1013 2026 3039 4052 6078 8104 9117 11261 12156 18234 22522 24312 33783 36468 45044 67566 72936 90088 101349 135132 202698 270264 405396 810792 11407393 22814786 34222179 45629572 68444358 91259144 102666537 136888716 205333074 273777432 410666148 821332296