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71348048 = 2417461569
BaseRepresentation
bin1000100000010…
…10111101010000
311222020212010022
410100022331100
5121231114143
611025123012
71524306542
oct420127520
9158225108
1071348048
1137301932
121ba89468
1311a212a5
149693692
1563e5268
hex440af50

71348048 has 40 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 33443840.

The previous prime is 71348041. The next prime is 71348063. The reversal of 71348048 is 84084317.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 66455104 = 2212^2 + 8152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71347999 and 71348017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71348041) 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, 125108 + ... + 125676.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 271348048 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 71348048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

71348048 is an abundant number, since it is smaller than the sum of its proper divisors (75595672).

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

71348048 is a wasteful number, since it uses less digits than its factorization.

71348048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 71348048 is about 8446.7773736497. Note that the first 3 decimals coincide. The cubic root of 71348048 is about 414.7572936098.

The spelling of 71348048 in words is "seventy-one million, three hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 461 569 922 1138 1844 2276 3688 4552 7376 7837 9104 9673 15674 19346 31348 38692 62696 77384 125392 154768 262309 524618 1049236 2098472 4196944 4459253 8918506 17837012 35674024 71348048