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42564492 = 22321182347
BaseRepresentation
bin1010001001011…
…1101110001100
32222002111111200
42202113232030
541344030432
64120145500
71024535505
oct242275614
988074450
1042564492
1122032373
1212308290
138a83bb9
14591dbac
153b0ba7c
hex2897b8c

42564492 has 18 divisors (see below), whose sum is σ = 107593668. Its totient is φ = 14188152.

The previous prime is 42564479. The next prime is 42564521. The reversal of 42564492 is 29446524.

42564492 is a `hidden beast` number, since 4 + 2 + 5 + 644 + 9 + 2 = 666.

42564492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1182347 = 42564492 / (4 + 2 + 5 + 6 + 4 + 4 + 9 + 2).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 591138 + ... + 591209.

It is an arithmetic number, because the mean of its divisors is an integer number (5977426).

Almost surely, 242564492 is an apocalyptic number.

It is an amenable number.

42564492 is an abundant number, since it is smaller than the sum of its proper divisors (65029176).

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

42564492 is a wasteful number, since it uses less digits than its factorization.

42564492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182357 (or 1182352 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42564492 is about 6524.1468407754. The cubic root of 42564492 is about 349.1530323419.

The spelling of 42564492 in words is "forty-two million, five hundred sixty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 1182347 2364694 3547041 4729388 7094082 10641123 14188164 21282246 42564492