Search a number
-
+
820522944 = 26321424519
BaseRepresentation
bin110000111010000…
…010111111000000
32010011221212212200
4300322002333000
53140023213234
6213230353200
726222221113
oct6072027700
92104855780
10820522944
1139118903a
121aa95b800
13100cba347
147ad8c57a
154c07cd99
hex30e82fc0

820522944 has 42 divisors (see below), whose sum is σ = 2351882520. Its totient is φ = 273507456.

The previous prime is 820522943. The next prime is 820522949. The reversal of 820522944 is 449225028.

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

It is a junction number, because it is equal to n+sod(n) for n = 820522899 and 820522908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820522943) 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 5 ways as a sum of consecutive naturals, for example, 711684 + ... + 712835.

Almost surely, 2820522944 is an apocalyptic number.

It is an amenable number.

820522944 is an abundant number, since it is smaller than the sum of its proper divisors (1531359576).

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

820522944 is a wasteful number, since it uses less digits than its factorization.

820522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424537 (or 1424524 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820522944 is about 28644.7716695386. The cubic root of 820522944 is about 936.1890917553.

The spelling of 820522944 in words is "eight hundred twenty million, five hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1424519 2849038 4273557 5698076 8547114 11396152 12820671 17094228 22792304 25641342 34188456 45584608 51282684 68376912 91169216 102565368 136753824 205130736 273507648 410261472 820522944