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42420117 = 3174120287
BaseRepresentation
bin1010000111010…
…0011110010101
32221211011110110
42201310132111
541324420432
64113113233
71023364545
oct241643625
987734413
1042420117
1121a43953
1212258819
138a3327c
1458c3325
153acddcc
hex2874795

42420117 has 16 divisors (see below), whose sum is σ = 61350912. Its totient is φ = 25966080.

The previous prime is 42420109. The next prime is 42420181. The reversal of 42420117 is 71102424.

It is a happy number.

42420117 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 42420117 - 23 = 42420109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42420093 and 42420102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420017) 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, 8053 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (3834432).

Almost surely, 242420117 is an apocalyptic number.

It is an amenable number.

42420117 is a deficient number, since it is larger than the sum of its proper divisors (18930795).

42420117 is a wasteful number, since it uses less digits than its factorization.

42420117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20348.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 42420117 is about 6513.0727771153. The cubic root of 42420117 is about 348.7578197396.

The spelling of 42420117 in words is "forty-two million, four hundred twenty thousand, one hundred seventeen".

Divisors: 1 3 17 41 51 123 697 2091 20287 60861 344879 831767 1034637 2495301 14140039 42420117