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4242772424 = 2311109344111
BaseRepresentation
bin1111110011100011…
…1001000111001000
3101221200112011121102
43330320321013020
532142122204144
61541001200532
7210065653622
oct37470710710
911850464542
104242772424
111887a307a0
129a4a90148
13528003437
142c36abc12
1519c72cb4e
hexfce391c8

4242772424 has 32 divisors (see below), whose sum is σ = 8686535040. Its totient is φ = 1926724800.

The previous prime is 4242772421. The next prime is 4242772427.

4242772424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4242772421) and next prime (4242772427).

It is a super-2 number, since 2×42427724242 = 36002235683709671552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4242772421) 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 7 ways as a sum of consecutive naturals, for example, 74129 + ... + 118239.

It is an arithmetic number, because the mean of its divisors is an integer number (271454220).

Almost surely, 24242772424 is an apocalyptic number.

4242772424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4242772424 is an abundant number, since it is smaller than the sum of its proper divisors (4443762616).

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

4242772424 is a wasteful number, since it uses less digits than its factorization.

4242772424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45221 (or 45217 counting only the distinct ones).

The product of its digits is 200704, while the sum is 38.

The square root of 4242772424 is about 65136.5674870882. The cubic root of 4242772424 is about 1618.8871623631.

The spelling of 4242772424 in words is "four billion, two hundred forty-two million, seven hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 1093 2186 4372 8744 12023 24046 44111 48092 88222 96184 176444 352888 485221 970442 1940884 3881768 48213323 96426646 192853292 385706584 530346553 1060693106 2121386212 4242772424