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42218964 = 22321172749
BaseRepresentation
bin1010000100001…
…1010111010100
32221102221112100
42201003113110
541302001324
64104522100
71021566234
oct241032724
987387470
1042218964
1121916807
1212180330
138992848
14586dcc4
153a8e4c9
hex28435d4

42218964 has 18 divisors (see below), whose sum is σ = 106720250. Its totient is φ = 14072976.

The previous prime is 42218951. The next prime is 42218977. The reversal of 42218964 is 46981224.

It is an interprime number because it is at equal distance from previous prime (42218951) and next prime (42218977).

It can be written as a sum of positive squares in only one way, i.e., 42146064 + 72900 = 6492^2 + 270^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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: 1172749 = 42218964 / (4 + 2 + 2 + 1 + 8 + 9 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 586339 + ... + 586410.

Almost surely, 242218964 is an apocalyptic number.

It is an amenable number.

42218964 is an abundant number, since it is smaller than the sum of its proper divisors (64501286).

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

42218964 is a wasteful number, since it uses less digits than its factorization.

42218964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172759 (or 1172754 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42218964 is about 6497.6121767923. The cubic root of 42218964 is about 348.2056849857.

The spelling of 42218964 in words is "forty-two million, two hundred eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1172749 2345498 3518247 4690996 7036494 10554741 14072988 21109482 42218964