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821316269 = 23378831093
BaseRepresentation
bin110000111101000…
…100101010101101
32010020110012010002
4300331010222231
53140224110034
6213255354045
726232034034
oct6075045255
92106405102
10821316269
11391680084
121ab082925
13101207477
147b11771b
154c187e7e
hex30f44aad

821316269 has 16 divisors (see below), whose sum is σ = 881991552. Its totient is φ = 762810048.

The previous prime is 821316259. The next prime is 821316277. The reversal of 821316269 is 962613128.

It is a happy number.

821316269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 821316269 - 24 = 821316253 is a prime.

It is a super-2 number, since 2×8213162692 = 1349120827448160722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821316259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750887 + ... + 751979.

It is an arithmetic number, because the mean of its divisors is an integer number (55124472).

Almost surely, 2821316269 is an apocalyptic number.

It is an amenable number.

821316269 is a deficient number, since it is larger than the sum of its proper divisors (60675283).

821316269 is a wasteful number, since it uses less digits than its factorization.

821316269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its digits is 31104, while the sum is 38.

The square root of 821316269 is about 28658.6159644879. The cubic root of 821316269 is about 936.4907136188.

The spelling of 821316269 in words is "eight hundred twenty-one million, three hundred sixteen thousand, two hundred sixty-nine".

Divisors: 1 23 37 851 883 1093 20309 25139 32671 40441 751433 930143 965119 22197737 35709403 821316269