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42421416 = 2331767559
BaseRepresentation
bin1010000111010…
…0110010101000
32221211020020120
42201310302220
541324441131
64113123240
71023401412
oct241646250
987736216
1042421416
1121a44924
1212259520
138a33a3b
1458c39b2
153ace496
hex2874ca8

42421416 has 16 divisors (see below), whose sum is σ = 106053600. Its totient is φ = 14140464.

The previous prime is 42421411. The next prime is 42421459. The reversal of 42421416 is 61412424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1767559 = 42421416 / (4 + 2 + 4 + 2 + 1 + 4 + 1 + 6).

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 (42421411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 883756 + ... + 883803.

It is an arithmetic number, because the mean of its divisors is an integer number (6628350).

Almost surely, 242421416 is an apocalyptic number.

It is an amenable number.

42421416 is an abundant number, since it is smaller than the sum of its proper divisors (63632184).

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

42421416 is a wasteful number, since it uses less digits than its factorization.

42421416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767568 (or 1767564 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42421416 is about 6513.1724988672. The cubic root of 42421416 is about 348.7613796212.

The spelling of 42421416 in words is "forty-two million, four hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 1767559 3535118 5302677 7070236 10605354 14140472 21210708 42421416