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42621417 = 3310714753
BaseRepresentation
bin1010001010010…
…1100111101001
32222012101121000
42202211213221
541402341132
64121305213
71025163456
oct242454751
988171530
1042621417
1122071113
1212335209
138aa3a97
14593682d
153b1d87c
hex28a59e9

42621417 has 16 divisors (see below), whose sum is σ = 63737280. Its totient is φ = 28146816.

The previous prime is 42621409. The next prime is 42621419. The reversal of 42621417 is 71412624.

42621417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42621417 - 23 = 42621409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42621419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (3983580).

Almost surely, 242621417 is an apocalyptic number.

It is an amenable number.

42621417 is a deficient number, since it is larger than the sum of its proper divisors (21115863).

42621417 is a wasteful number, since it uses less digits than its factorization.

42621417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869 (or 14863 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42621417 is about 6528.5080225117. The cubic root of 42621417 is about 349.3086133721.

The spelling of 42621417 in words is "forty-two million, six hundred twenty-one thousand, four hundred seventeen".

Divisors: 1 3 9 27 107 321 963 2889 14753 44259 132777 398331 1578571 4735713 14207139 42621417