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71850080 = 2551672689
BaseRepresentation
bin1000100100001…
…01100001100000
312000012100210002
410102011201200
5121343200310
611043555132
71531500311
oct422054140
9160170702
1071850080
1137615035
122008baa8
1311b68953
149784608
156493da5
hex4485860

71850080 has 48 divisors (see below), whose sum is σ = 170825760. Its totient is φ = 28557312.

The previous prime is 71850067. The next prime is 71850101. The reversal of 71850080 is 8005817.

It is a happy number.

It is a super-3 number, since 3×718500803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25376 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (3558870).

Almost surely, 271850080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85412880).

71850080 is an abundant number, since it is smaller than the sum of its proper divisors (98975680).

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

71850080 is a wasteful number, since it uses less digits than its factorization.

71850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 71850080 is about 8476.4426500744. The cubic root of 71850080 is about 415.7278175161.

Adding to 71850080 its reverse (8005817), we get a palindrome (79855897).

The spelling of 71850080 in words is "seventy-one million, eight hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 2689 3340 5344 5378 6680 10756 13360 13445 21512 26720 26890 43024 53780 86048 107560 215120 430240 449063 898126 1796252 2245315 3592504 4490630 7185008 8981260 14370016 17962520 35925040 71850080