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42195852 = 22321172107
BaseRepresentation
bin1010000011110…
…1101110001100
32221101202211100
42200331232030
541300231402
64104223100
71021441656
oct240755614
987352740
1042195852
1121900406
121216aa90
13898517a
1458656d6
153a8771c
hex283db8c

42195852 has 18 divisors (see below), whose sum is σ = 106661828. Its totient is φ = 14065272.

The previous prime is 42195833. The next prime is 42195859. The reversal of 42195852 is 25859124.

42195852 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 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: 1172107 = 42195852 / (4 + 2 + 1 + 9 + 5 + 8 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (42195859) 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 5 ways as a sum of consecutive naturals, for example, 586018 + ... + 586089.

Almost surely, 242195852 is an apocalyptic number.

It is an amenable number.

42195852 is an abundant number, since it is smaller than the sum of its proper divisors (64465976).

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

42195852 is a wasteful number, since it uses less digits than its factorization.

42195852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172117 (or 1172112 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42195852 is about 6495.8334338251. The cubic root of 42195852 is about 348.1421337755.

The spelling of 42195852 in words is "forty-two million, one hundred ninety-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1172107 2344214 3516321 4688428 7032642 10548963 14065284 21097926 42195852