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71948934 = 23219792663
BaseRepresentation
bin1000100100111…
…01101010000110
312000101101101100
410102131222012
5121404331214
611050040530
71532361441
oct422355206
9160341340
1071948934
1137682332
1220119146
1311ba1945
1497ac658
1564b3309
hex449da86

71948934 has 48 divisors (see below), whose sum is σ = 166233600. Its totient is φ = 22424688.

The previous prime is 71948909. The next prime is 71948977. The reversal of 71948934 is 43984917.

71948934 = T252 + T253 + ... + T764.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71948934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25687 + ... + 28349.

It is an arithmetic number, because the mean of its divisors is an integer number (3463200).

Almost surely, 271948934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71948934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83116800).

71948934 is an abundant number, since it is smaller than the sum of its proper divisors (94284666).

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

71948934 is a wasteful number, since it uses less digits than its factorization.

71948934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2766 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 71948934 is about 8482.2717475922. The cubic root of 71948934 is about 415.9183880521.

The spelling of 71948934 in words is "seventy-one million, nine hundred forty-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 2663 3002 4503 5326 7989 9006 13509 15978 23967 27018 47934 50597 101194 151791 210377 303582 420754 455373 631131 910746 1262262 1893393 3786786 3997163 7994326 11991489 23982978 35974467 71948934