Search a number
-
+
42141636 = 22327331597
BaseRepresentation
bin1010000011000…
…0011111000100
32221022000110100
42200300133010
541242013021
64103124100
71021124625
oct240603704
987260410
1042141636
11218736a9
1212143630
1389665a4
14584da4c
153a76626
hex28307c4

42141636 has 36 divisors (see below), whose sum is σ = 106736812. Its totient is φ = 14019264.

The previous prime is 42141607. The next prime is 42141643. The reversal of 42141636 is 63614124.

42141636 is a `hidden beast` number, since 4 + 21 + 4 + 1 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 14516100 = 5256^2 + 3810^2 .

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

It is a nude number because it is divisible by every one of its digits.

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, 25590 + ... + 27186.

Almost surely, 242141636 is an apocalyptic number.

It is an amenable number.

42141636 is an abundant number, since it is smaller than the sum of its proper divisors (64595176).

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

42141636 is a wasteful number, since it uses less digits than its factorization.

42141636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2335 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42141636 is about 6491.6589559218. The cubic root of 42141636 is about 347.9929645823.

The spelling of 42141636 in words is "forty-two million, one hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 733 1466 1597 2199 2932 3194 4398 4791 6388 6597 8796 9582 13194 14373 19164 26388 28746 57492 1170601 2341202 3511803 4682404 7023606 10535409 14047212 21070818 42141636