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71088416 = 257245337
BaseRepresentation
bin1000011110010…
…11100100100000
311221202122222022
410033023210200
5121144312131
611015401012
71522145600
oct417134440
9157678868
1071088416
1137144863
121b983168
1311960069
149626c00
15639337b
hex43cb920

71088416 has 36 divisors (see below), whose sum is σ = 162808758. Its totient is φ = 30465792.

The previous prime is 71088403. The next prime is 71088427. The reversal of 71088416 is 61488017.

It can be written as a sum of positive squares in only one way, i.e., 55056400 + 16032016 = 7420^2 + 4004^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21101 + ... + 24236.

Almost surely, 271088416 is an apocalyptic number.

It is an amenable number.

71088416 is an abundant number, since it is smaller than the sum of its proper divisors (91720342).

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

71088416 is a wasteful number, since it uses less digits than its factorization.

71088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45361 (or 45346 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 71088416 is about 8431.3946651785. The cubic root of 71088416 is about 414.2535884040.

The spelling of 71088416 in words is "seventy-one million, eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 45337 90674 181348 317359 362696 634718 725392 1269436 1450784 2221513 2538872 4443026 5077744 8886052 10155488 17772104 35544208 71088416