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47428488 = 23321494421
BaseRepresentation
bin1011010011101…
…1001110001000
310022020121122200
42310323032020
544120202423
64412320200
71114064322
oct264731610
9108217580
1047428488
11248547a8
1213a73060
139a97ac3
146428612
15426cd43
hex2d3b388

47428488 has 48 divisors (see below), whose sum is σ = 129343500. Its totient is φ = 15699840.

The previous prime is 47428483. The next prime is 47428529. The reversal of 47428488 is 88482474.

It is a happy number.

47428488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47361924 + 66564 = 6882^2 + 258^2 .

It is a super-2 number, since 2×474284882 = 4498922947932288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47428483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8518 + ... + 12938.

Almost surely, 247428488 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 47428488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64671750).

47428488 is an abundant number, since it is smaller than the sum of its proper divisors (81915012).

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

47428488 is a wasteful number, since it uses less digits than its factorization.

47428488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4575 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 47428488 is about 6886.8343961504. The cubic root of 47428488 is about 361.9759861160.

The spelling of 47428488 in words is "forty-seven million, four hundred twenty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 4421 5364 8842 10728 13263 17684 26526 35368 39789 53052 79578 106104 159156 318312 658729 1317458 1976187 2634916 3952374 5269832 5928561 7904748 11857122 15809496 23714244 47428488