Search a number
-
+
42242436 = 22321173401
BaseRepresentation
bin1010000100100…
…1000110000100
32221111010201200
42201021012010
541303224221
64105222500
71022024535
oct241110604
987433650
1042242436
1121932405
1212191a30
1389a0432
14587868c
153a96426
hex2849184

42242436 has 18 divisors (see below), whose sum is σ = 106779582. Its totient is φ = 14080800.

The previous prime is 42242413. The next prime is 42242437. The reversal of 42242436 is 63424224.

42242436 is a `hidden beast` number, since 4 + 224 + 2 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 562500 = 6456^2 + 750^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42242437) 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, 586665 + ... + 586736.

It is an arithmetic number, because the mean of its divisors is an integer number (5932199).

Almost surely, 242242436 is an apocalyptic number.

It is an amenable number.

42242436 is an abundant number, since it is smaller than the sum of its proper divisors (64537146).

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

42242436 is a wasteful number, since it uses less digits than its factorization.

42242436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173411 (or 1173406 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42242436 is about 6499.4181278019. The cubic root of 42242436 is about 348.2702023565.

The spelling of 42242436 in words is "forty-two million, two hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1173401 2346802 3520203 4693604 7040406 10560609 14080812 21121218 42242436