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827142741 = 32109184239
BaseRepresentation
bin110001010011010…
…011001001010101
32010122102012112100
4301103103021111
53143222031431
6214024312313
726332411605
oct6123231125
92118365470
10827142741
1139499a647
121b1012699
13102497499
147bbd2c05
154c9394e6
hex314d3255

827142741 has 12 divisors (see below), whose sum is σ = 1195871040. Its totient is φ = 550916520.

The previous prime is 827142739. The next prime is 827142761. The reversal of 827142741 is 147241728.

It is not a de Polignac number, because 827142741 - 21 = 827142739 is a prime.

It is a super-2 number, since 2×8271427412 = 1368330227977986162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827142696 and 827142705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827142731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32301 + ... + 51938.

It is an arithmetic number, because the mean of its divisors is an integer number (99655920).

Almost surely, 2827142741 is an apocalyptic number.

It is an amenable number.

827142741 is a deficient number, since it is larger than the sum of its proper divisors (368728299).

827142741 is a wasteful number, since it uses less digits than its factorization.

827142741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85336 (or 85333 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 827142741 is about 28760.0893774689. The cubic root of 827142741 is about 938.7000065811.

The spelling of 827142741 in words is "eight hundred twenty-seven million, one hundred forty-two thousand, seven hundred forty-one".

Divisors: 1 3 9 1091 3273 9819 84239 252717 758151 91904749 275714247 827142741