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71608032 = 2532248639
BaseRepresentation
bin1000100010010…
…10011011100000
311222202001202100
410101022123200
5121312424112
611034450400
71526441526
oct421123340
9158661670
1071608032
113746a1a1
121bb93a00
1311ab2722
149720316
1564472dc
hex444a6e0

71608032 has 36 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 23869248.

The previous prime is 71608021. The next prime is 71608037. The reversal of 71608032 is 23080617.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 71607987 and 71608005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71608037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124032 + ... + 124607.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 271608032 is an apocalyptic number.

71608032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71608032 is an abundant number, since it is smaller than the sum of its proper divisors (132028128).

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

71608032 is a wasteful number, since it uses less digits than its factorization.

71608032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248655 (or 248644 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71608032 is about 8462.1529175500. The cubic root of 71608032 is about 415.2604587469.

Adding to 71608032 its reverse (23080617), we get a palindrome (94688649).

The spelling of 71608032 in words is "seventy-one million, six hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 248639 497278 745917 994556 1491834 1989112 2237751 2983668 3978224 4475502 5967336 7956448 8951004 11934672 17902008 23869344 35804016 71608032