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820026957 = 32339531231
BaseRepresentation
bin110000111000001…
…001111001001101
32010011000200111210
4300320021321031
53134411330312
6213212005033
726215054101
oct6070117115
92104020453
10820026957
1139097a432
121aa760779
13100b75669
147ac9d901
154bed0e3c
hex30e09e4d

820026957 has 16 divisors (see below), whose sum is σ = 1100107008. Its totient is φ = 543325440.

The previous prime is 820026941. The next prime is 820026959. The reversal of 820026957 is 759620028.

It is a happy number.

It is not a de Polignac number, because 820026957 - 24 = 820026941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820026959) 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, 665532 + ... + 666762.

It is an arithmetic number, because the mean of its divisors is an integer number (68756688).

Almost surely, 2820026957 is an apocalyptic number.

It is an amenable number.

820026957 is a deficient number, since it is larger than the sum of its proper divisors (280080051).

820026957 is a wasteful number, since it uses less digits than its factorization.

820026957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 820026957 is about 28636.1128123214. The cubic root of 820026957 is about 936.0004189037. Note that the first 3 decimals are identical.

The spelling of 820026957 in words is "eight hundred twenty million, twenty-six thousand, nine hundred fifty-seven".

Divisors: 1 3 233 699 953 1231 2859 3693 222049 286823 666147 860469 1173143 3519429 273342319 820026957