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827069004 = 223222974139
BaseRepresentation
bin110001010011000…
…001001001001100
32010122021110101100
4301103001021030
53143212202004
6214022543100
726331653616
oct6123011114
92118243340
10827069004
1139494a203
121b0b97a90
1310246ca58
147bbb3db6
154c922739
hex314c124c

827069004 has 18 divisors (see below), whose sum is σ = 2090646740. Its totient is φ = 275689656.

The previous prime is 827068981. The next prime is 827069017. The reversal of 827069004 is 400960728.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22974139 = 827069004 / (8 + 2 + 7 + 0 + 6 + 9 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 827069004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11487034 + ... + 11487105.

Almost surely, 2827069004 is an apocalyptic number.

It is an amenable number.

827069004 is an abundant number, since it is smaller than the sum of its proper divisors (1263577736).

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

827069004 is a wasteful number, since it uses less digits than its factorization.

827069004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22974149 (or 22974144 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 827069004 is about 28758.8074161638. The cubic root of 827069004 is about 938.6721117669.

The spelling of 827069004 in words is "eight hundred twenty-seven million, sixty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 22974139 45948278 68922417 91896556 137844834 206767251 275689668 413534502 827069004