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20042442 = 2327732179
BaseRepresentation
bin100110001110…
…1001011001010
31101201021001200
41030131023022
520112324232
61553325030
7332233530
oct114351312
941637050
1020042442
111034a202
126866776
1341c9844
14293a150
151b5d77c
hex131d2ca

20042442 has 48 divisors (see below), whose sum is σ = 50331840. Its totient is φ = 5645376.

The previous prime is 20042417. The next prime is 20042443. The reversal of 20042442 is 24424002.

20042442 is a `hidden beast` number, since 200 + 424 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20042443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109 + ... + 10287.

It is an arithmetic number, because the mean of its divisors is an integer number (1048580).

Almost surely, 220042442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165920).

20042442 is an abundant number, since it is smaller than the sum of its proper divisors (30289398).

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

20042442 is a wasteful number, since it uses less digits than its factorization.

20042442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20042442 is about 4476.8786000963. The cubic root of 20042442 is about 271.6336348529.

Adding to 20042442 its reverse (24424002), we get a palindrome (44466444).

The spelling of 20042442 in words is "twenty million, forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 2179 3066 4358 4599 6537 9198 13074 15253 19611 30506 39222 45759 91518 137277 159067 274554 318134 477201 954402 1113469 1431603 2226938 2863206 3340407 6680814 10021221 20042442