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4242300032 = 2729239409
BaseRepresentation
bin1111110011011100…
…0101110010000000
3101221122122011121102
43330313011302000
532142012100112
61540543113532
7210061645445
oct37467056200
911848564542
104242300032
111887738893
129a48a28a8
13527b99409
142c35c79cc
1519c687bc2
hexfcdc5c80

4242300032 has 48 divisors (see below), whose sum is σ = 8753158050. Its totient is φ = 2047954944.

The previous prime is 4242300019. The next prime is 4242300047. The reversal of 4242300032 is 2300032424.

4242300032 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 3 ways, for example, as 3752297536 + 490002496 = 61256^2 + 22136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4242299977 and 4242300013.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87944 + ... + 127352.

Almost surely, 24242300032 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 4242300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376579025).

4242300032 is an abundant number, since it is smaller than the sum of its proper divisors (4510858018).

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

4242300032 is an equidigital number, since it uses as much as digits as its factorization.

4242300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39481 (or 39440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4242300032 is about 65132.9412202458. The cubic root of 4242300032 is about 1618.8270776157.

Adding to 4242300032 its reverse (2300032424), we get a palindrome (6542332456).

The spelling of 4242300032 in words is "four billion, two hundred forty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1682 1856 3364 3712 6728 13456 26912 39409 53824 78818 107648 157636 315272 630544 1142861 1261088 2285722 2522176 4571444 5044352 9142888 18285776 33142969 36571552 66285938 73143104 132571876 146286208 265143752 530287504 1060575008 2121150016 4242300032