Search a number
-
+
71823864 = 2337427523
BaseRepresentation
bin1000100011111…
…11000111111000
312000011000211010
410101333013320
5121341330424
611043233520
71531331010
oct421770770
9160130733
1071823864
11375a7372
12200788a0
1311b59a38
149778c40
15648b229
hex447f1f8

71823864 has 32 divisors (see below), whose sum is σ = 205211520. Its totient is φ = 20521056.

The previous prime is 71823859. The next prime is 71823883. The reversal of 71823864 is 46832817.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213594 + ... + 213929.

It is an arithmetic number, because the mean of its divisors is an integer number (6412860).

Almost surely, 271823864 is an apocalyptic number.

It is an amenable number.

71823864 is an abundant number, since it is smaller than the sum of its proper divisors (133387656).

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

71823864 is a wasteful number, since it uses less digits than its factorization.

71823864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427539 (or 427535 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 71823864 is about 8474.8961055579. The cubic root of 71823864 is about 415.6772490441.

The spelling of 71823864 in words is "seventy-one million, eight hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 427523 855046 1282569 1710092 2565138 2992661 3420184 5130276 5985322 8977983 10260552 11970644 17955966 23941288 35911932 71823864