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71166492 = 22335312433
BaseRepresentation
bin1000011110111…
…10101000011100
311221220122002000
410033132220130
5121204311432
611021202300
71522622325
oct417365034
9157818060
1071166492
1137198491
121ba00390
1311989767
14964744c
1563ab57c
hex43dea1c

71166492 has 48 divisors (see below), whose sum is σ = 188002080. Its totient is φ = 23272704.

The previous prime is 71166481. The next prime is 71166499. The reversal of 71166492 is 29466117.

71166492 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 649 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71166499) 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, 493 + ... + 11940.

It is an arithmetic number, because the mean of its divisors is an integer number (3916710).

Almost surely, 271166492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71166492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94001040).

71166492 is an abundant number, since it is smaller than the sum of its proper divisors (116835588).

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

71166492 is a wasteful number, since it uses less digits than its factorization.

71166492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12499 (or 12491 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 71166492 is about 8436.0234708066. The cubic root of 71166492 is about 414.4051903640.

The spelling of 71166492 in words is "seventy-one million, one hundred sixty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 12433 24866 37299 49732 74598 111897 149196 223794 335691 447588 658949 671382 1317898 1342764 1976847 2635796 3953694 5930541 7907388 11861082 17791623 23722164 35583246 71166492