Search a number
-
+
71993831 = 7132193203
BaseRepresentation
bin1000100101010…
…00100111100111
312000110122222012
410102220213213
5121412300311
611051024435
71532636360
oct422504747
9160418865
1071993831
1137703038
122013b11b
1311bb9200
1497c0b67
1564c178b
hex44a89e7

71993831 has 24 divisors (see below), whose sum is σ = 93813120. Its totient is φ = 53947296.

The previous prime is 71993819. The next prime is 71993843. The reversal of 71993831 is 13839917.

It is an interprime number because it is at equal distance from previous prime (71993819) and next prime (71993843).

It is not a de Polignac number, because 71993831 - 26 = 71993767 is a prime.

It is a super-2 number, since 2×719938312 = 10366223404113122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20876 + ... + 24078.

It is an arithmetic number, because the mean of its divisors is an integer number (3908880).

Almost surely, 271993831 is an apocalyptic number.

71993831 is a deficient number, since it is larger than the sum of its proper divisors (21819289).

71993831 is a wasteful number, since it uses less digits than its factorization.

71993831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3242 counting only the distinct ones).

The product of its digits is 40824, while the sum is 41.

The square root of 71993831 is about 8484.9178546407. The cubic root of 71993831 is about 416.0048827552.

The spelling of 71993831 in words is "seventy-one million, nine hundred ninety-three thousand, eight hundred thirty-one".

Divisors: 1 7 13 19 91 133 169 247 1183 1729 3203 3211 22421 22477 41639 60857 291473 425999 541307 791141 3789149 5537987 10284833 71993831