Search a number
-
+
42266484 = 22321390313
BaseRepresentation
bin1010000100111…
…0111101110100
32221112100201100
42201032331310
541310011414
64105530100
71022154621
oct241167564
987470640
1042266484
1121949487
12121a3930
1389ab370
145883348
153a9d609
hex284ef74

42266484 has 36 divisors (see below), whose sum is σ = 115060036. Its totient is φ = 13004928.

The previous prime is 42266461. The next prime is 42266533. The reversal of 42266484 is 48466224.

It is a happy number.

42266484 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 648 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1664100 + 40602384 = 1290^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44689 + ... + 45624.

Almost surely, 242266484 is an apocalyptic number.

It is an amenable number.

42266484 is an abundant number, since it is smaller than the sum of its proper divisors (72793552).

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

42266484 is a wasteful number, since it uses less digits than its factorization.

42266484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90336 (or 90331 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 42266484 is about 6501.2678763454. The cubic root of 42266484 is about 348.3362781942.

The spelling of 42266484 in words is "forty-two million, two hundred sixty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 90313 180626 270939 361252 541878 812817 1083756 1174069 1625634 2348138 3251268 3522207 4696276 7044414 10566621 14088828 21133242 42266484