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820265488 = 24721046257
BaseRepresentation
bin110000111001000…
…100001000010000
32010011110210201021
4300321010020100
53134441443423
6213221045224
726220066400
oct6071041020
92104423637
10820265488
11391022669
121aa856814
13100c2a0c3
147ad22800
154c02b95d
hex30e44210

820265488 has 30 divisors (see below), whose sum is σ = 1848737886. Its totient is φ = 351542016.

The previous prime is 820265483. The next prime is 820265489. The reversal of 820265488 is 884562028.

It can be written as a sum of positive squares in only one way, i.e., 448084224 + 372181264 = 21168^2 + 19292^2 .

It is not an unprimeable number, because it can be changed into a prime (820265483) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 522345 + ... + 523912.

Almost surely, 2820265488 is an apocalyptic number.

It is an amenable number.

820265488 is an abundant number, since it is smaller than the sum of its proper divisors (1028472398).

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

820265488 is a wasteful number, since it uses less digits than its factorization.

820265488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046279 (or 1046266 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 820265488 is about 28640.2773729585. The cubic root of 820265488 is about 936.0911652991.

The spelling of 820265488 in words is "eight hundred twenty million, two hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1046257 2092514 4185028 7323799 8370056 14647598 16740112 29295196 51266593 58590392 102533186 117180784 205066372 410132744 820265488