Search a number
-
+
42534036 = 22321181501
BaseRepresentation
bin1010001001000…
…0010010010100
32222000221201200
42202100102110
541342042121
64115352500
71024350636
oct242202224
988027650
1042534036
11220114a6
12122b2730
138a7308c
145912a56
153b02a26
hex2890494

42534036 has 18 divisors (see below), whose sum is σ = 107516682. Its totient is φ = 14178000.

The previous prime is 42534031. The next prime is 42534043. The reversal of 42534036 is 63043524.

42534036 is a `hidden beast` number, since 4 + 253 + 403 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32421636 + 10112400 = 5694^2 + 3180^2 .

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 (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42534031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 590715 + ... + 590786.

It is an arithmetic number, because the mean of its divisors is an integer number (5973149).

Almost surely, 242534036 is an apocalyptic number.

It is an amenable number.

42534036 is an abundant number, since it is smaller than the sum of its proper divisors (64982646).

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

42534036 is a wasteful number, since it uses less digits than its factorization.

42534036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181511 (or 1181506 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42534036 is about 6521.8123248067. The cubic root of 42534036 is about 349.0697364497.

The spelling of 42534036 in words is "forty-two million, five hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1181501 2363002 3544503 4726004 7089006 10633509 14178012 21267018 42534036