Search a number
-
+
71864631 = 3319273101
BaseRepresentation
bin1000100100010…
…01000100110111
312000020002202000
410102021010313
5121344132011
611044150343
71531560606
oct422110467
9160202660
1071864631
1137624a63
12200983b3
1311b72467
149789a3d
156498356
hex4489137

71864631 has 48 divisors (see below), whose sum is σ = 115031520. Its totient is φ = 44323200.

The previous prime is 71864629. The next prime is 71864633. The reversal of 71864631 is 13646817.

71864631 is a `hidden beast` number, since 7 + 1 + 8 + 646 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (71864629) and next prime (71864633).

It is not a de Polignac number, because 71864631 - 21 = 71864629 is a prime.

It is a super-2 number, since 2×718646312 = 10329050377532322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71864633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 711481 + ... + 711581.

It is an arithmetic number, because the mean of its divisors is an integer number (2396490).

Almost surely, 271864631 is an apocalyptic number.

71864631 is a deficient number, since it is larger than the sum of its proper divisors (43166889).

71864631 is a wasteful number, since it uses less digits than its factorization.

71864631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

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

The square root of 71864631 is about 8477.3009265921. The cubic root of 71864631 is about 415.7558798702.

The spelling of 71864631 in words is "seventy-one million, eight hundred sixty-four thousand, six hundred thirty-one".

Divisors: 1 3 9 19 27 57 73 101 171 219 303 361 513 657 909 1083 1387 1919 1971 2727 3249 4161 5757 7373 9747 12483 17271 22119 26353 36461 37449 51813 66357 79059 109383 140087 199071 237177 328149 420261 711531 984447 1260783 2661653 3782349 7984959 23954877 71864631