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71812494 = 2341324361
BaseRepresentation
bin1000100011111…
…00010110001110
312000010110020000
410101330112032
5121340444434
611043105130
71531252605
oct421742616
9160113200
1071812494
1137599876
12200721a6
1311b54800
149774a3c
156487b99
hex447c58e

71812494 has 120 divisors (see below), whose sum is σ = 181218312. Its totient is φ = 21228480.

The previous prime is 71812493. The next prime is 71812547. The reversal of 71812494 is 49421817.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (16128) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71812493) 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 59 ways as a sum of consecutive naturals, for example, 1177224 + ... + 1177284.

Almost surely, 271812494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71812494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90609156).

71812494 is an abundant number, since it is smaller than the sum of its proper divisors (109405818).

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

71812494 is a wasteful number, since it uses less digits than its factorization.

71812494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71812494 is about 8474.2252743245. The cubic root of 71812494 is about 415.6553134391.

The spelling of 71812494 in words is "seventy-one million, eight hundred twelve thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 61 78 81 86 117 122 129 162 169 183 234 258 338 351 366 387 507 549 559 702 774 793 1014 1053 1098 1118 1161 1521 1586 1647 1677 2106 2322 2379 2623 3042 3294 3354 3483 4563 4758 4941 5031 5246 6966 7137 7267 7869 9126 9882 10062 10309 13689 14274 14534 15093 15738 20618 21411 21801 23607 27378 30186 30927 34099 42822 43602 45279 47214 61854 64233 65403 68198 70821 90558 92781 102297 128466 130806 141642 185562 196209 204594 212463 278343 306891 392418 424926 443287 556686 588627 613782 835029 886574 920673 1177254 1329861 1670058 1841346 2659722 2762019 3989583 5524038 7979166 11968749 23937498 35906247 71812494