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4242983472 = 243471335977
BaseRepresentation
bin1111110011100110…
…1100101000110000
3101221200220220010000
43330321230220300
532142200432342
61541005510000
7210100523130
oct37471545060
911850826100
104242983472
111888065312
129a4b72300
13528078510
142c3724ac0
1519c77044c
hexfce6ca30

4242983472 has 200 divisors, whose sum is σ = 15114789536. Its totient is φ = 1118997504.

The previous prime is 4242983467. The next prime is 4242983477. The reversal of 4242983472 is 2743892424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4242983467) and next prime (4242983477).

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

It is not an unprimeable number, because it can be changed into a prime (4242983477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99948 + ... + 135924.

Almost surely, 24242983472 is an apocalyptic number.

4242983472 is a gapful number since it is divisible by the number (42) 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 4242983472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557394768).

4242983472 is an abundant number, since it is smaller than the sum of its proper divisors (10871806064).

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

4242983472 is a wasteful number, since it uses less digits than its factorization.

4242983472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36017 (or 36002 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4242983472 is about 65138.1875093251. The cubic root of 4242983472 is about 1618.9140046570.

The spelling of 4242983472 in words is "four billion, two hundred forty-two million, nine hundred eighty-three thousand, four hundred seventy-two".