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71945216 = 210710037
BaseRepresentation
bin1000100100111…
…00110000000000
312000101012021122
410102130300000
5121404221331
611050011412
71532344550
oct422346000
9160335248
1071945216
113767a562
1220116b68
1311ba0045
1497ab160
1564b217b
hex449cc00

71945216 has 44 divisors (see below), whose sum is σ = 164382288. Its totient is φ = 30830592.

The previous prime is 71945213. The next prime is 71945227. The reversal of 71945216 is 61254917.

It is a super-2 number, since 2×719452162 = 10352228210573312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71945213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2150 + ... + 12186.

Almost surely, 271945216 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 71945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82191144).

71945216 is an abundant number, since it is smaller than the sum of its proper divisors (92437072).

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

71945216 is a wasteful number, since it uses less digits than its factorization.

71945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10046 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 71945216 is about 8482.0525817752. The cubic root of 71945216 is about 415.9112236596.

The spelling of 71945216 in words is "seventy-one million, nine hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 10037 20074 40148 70259 80296 140518 160592 281036 321184 562072 642368 1124144 1284736 2248288 2569472 4496576 5138944 8993152 10277888 17986304 35972608 71945216