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820645042 = 27259141931
BaseRepresentation
bin110000111010100…
…000110010110010
32010012012002100211
4300322200302302
53140041120132
6213233134334
726223240100
oct6072406262
92105162324
10820645042
11391261848
121aa9ba3aa
13101030aa9
147adc0c70
154c0a4147
hex30ea0cb2

820645042 has 24 divisors (see below), whose sum is σ = 1456222320. Its totient is φ = 345741480.

The previous prime is 820645009. The next prime is 820645069. The reversal of 820645042 is 240546028.

It is a junction number, because it is equal to n+sod(n) for n = 820644995 and 820645013.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65184 + ... + 76747.

It is an arithmetic number, because the mean of its divisors is an integer number (60675930).

Almost surely, 2820645042 is an apocalyptic number.

820645042 is a deficient number, since it is larger than the sum of its proper divisors (635577278).

820645042 is a wasteful number, since it uses less digits than its factorization.

820645042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142006 (or 141999 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 820645042 is about 28646.9028343380. The cubic root of 820645042 is about 936.2355260231.

The spelling of 820645042 in words is "eight hundred twenty million, six hundred forty-five thousand, forty-two".

Divisors: 1 2 7 14 49 59 98 118 413 826 2891 5782 141931 283862 993517 1987034 6954619 8373929 13909238 16747858 58617503 117235006 410322521 820645042