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4242662424 = 23327111337243
BaseRepresentation
bin1111110011100001…
…1110010000011000
3101221200022120201100
43330320132100120
532142110144144
61540554551400
7210065015130
oct37470362030
911850276640
104242662424
111887966090
129a4a38560
13527c95350
142c367dac0
1519c70a269
hexfce1e418

4242662424 has 576 divisors, whose sum is σ = 16224848640. Its totient is φ = 966712320.

The previous prime is 4242662419. The next prime is 4242662527.

4242662424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 6 + 624 + 24 = 666.

4242662424 is nontrivially palindromic in base 10.

4242662424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98666547 + ... + 98666589.

It is an arithmetic number, because the mean of its divisors is an integer number (28168140).

Almost surely, 24242662424 is an apocalyptic number.

4242662424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242662424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112424320).

4242662424 is an abundant number, since it is smaller than the sum of its proper divisors (11982186216).

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

4242662424 is a wasteful number, since it uses less digits than its factorization.

4242662424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 4242662424 is about 65135.7231018433. The cubic root of 4242662424 is about 1618.8731715799.

It can be divided in two parts, 4242 and 662424, that added together give a palindrome (666666).

The spelling of 4242662424 in words is "four billion, two hundred forty-two million, six hundred sixty-two thousand, four hundred twenty-four".