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4242042432 = 26327364657
BaseRepresentation
bin1111110011011000…
…0110111001000000
3101221122011002020200
43330312012321000
532141430324212
61540533405200
7210056523435
oct37466067100
911848132220
104242042432
1118875822a1
129a4799800
13527b090a4
142c355bb8c
1519c6366dc
hexfcd86e40

4242042432 has 42 divisors (see below), whose sum is σ = 12159050358. Its totient is φ = 1414013952.

The previous prime is 4242042401. The next prime is 4242042433. The reversal of 4242042432 is 2342402424.

4242042432 is a `hidden beast` number, since 4 + 24 + 204 + 2 + 432 = 666.

4242042432 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 only one way, i.e., 4149421056 + 92621376 = 64416^2 + 9624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4242042396 and 4242042405.

It is not an unprimeable number, because it can be changed into a prime (4242042433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3681753 + ... + 3682904.

It is an arithmetic number, because the mean of its divisors is an integer number (289501199).

Almost surely, 24242042432 is an apocalyptic number.

It is an amenable number.

4242042432 is an abundant number, since it is smaller than the sum of its proper divisors (7917007926).

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

4242042432 is a wasteful number, since it uses less digits than its factorization.

4242042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364675 (or 7364662 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4242042432 is about 65130.9636962328. The cubic root of 4242042432 is about 1618.7943109331.

Adding to 4242042432 its reverse (2342402424), we get a palindrome (6584444856).

The spelling of 4242042432 in words is "four billion, two hundred forty-two million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7364657 14729314 22093971 29458628 44187942 58917256 66281913 88375884 117834512 132563826 176751768 235669024 265127652 353503536 471338048 530255304 707007072 1060510608 1414014144 2121021216 4242042432