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71228144 = 2413734691
BaseRepresentation
bin1000011111011…
…01101011110000
311222000202122102
410033231223300
5121213300034
611022355532
71523300141
oct417555360
9158022572
1071228144
113722a839
121ba2bba8
13119ab840
149661ac8
1563be97e
hex43edaf0

71228144 has 40 divisors (see below), whose sum is σ = 150688272. Its totient is φ = 32417280.

The previous prime is 71228141. The next prime is 71228159. The reversal of 71228144 is 44182217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71228141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12839 + ... + 17529.

Almost surely, 271228144 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 71228144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75344136).

71228144 is an abundant number, since it is smaller than the sum of its proper divisors (79460128).

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

71228144 is a wasteful number, since it uses less digits than its factorization.

71228144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4779 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 71228144 is about 8439.6767710618. The cubic root of 71228144 is about 414.5248231382.

The spelling of 71228144 in words is "seventy-one million, two hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 4691 7592 9382 15184 18764 37528 60983 75056 121966 243932 342443 487864 684886 975728 1369772 2739544 4451759 5479088 8903518 17807036 35614072 71228144