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71414208 = 2632123983
BaseRepresentation
bin1000100000110…
…11000111000000
311222101012212200
410100123013000
5121240223313
611030353200
71525003455
oct420330700
9158335780
1071414208
1137347608
121babb800
1311a45438
1496ad82c
156409b73
hex441b1c0

71414208 has 42 divisors (see below), whose sum is σ = 204697584. Its totient is φ = 23804544.

The previous prime is 71414177. The next prime is 71414237. The reversal of 71414208 is 80241417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61416 + ... + 62567.

It is an arithmetic number, because the mean of its divisors is an integer number (4873752).

Almost surely, 271414208 is an apocalyptic number.

It is an amenable number.

71414208 is an abundant number, since it is smaller than the sum of its proper divisors (133283376).

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

71414208 is a wasteful number, since it uses less digits than its factorization.

71414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124001 (or 123988 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 71414208 is about 8450.6927526683. The cubic root of 71414208 is about 414.8854534591.

The spelling of 71414208 in words is "seventy-one million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 123983 247966 371949 495932 743898 991864 1115847 1487796 1983728 2231694 2975592 3967456 4463388 5951184 7934912 8926776 11902368 17853552 23804736 35707104 71414208