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42018832 = 2417241641
BaseRepresentation
bin1010000001001…
…0100000010000
32221001210000001
42200102200100
541224100312
64100335344
71020103612
oct240224020
987053001
1042018832
112179a409
12120a4554
13892271b
14581adb2
153a50057
hex2812810

42018832 has 40 divisors (see below), whose sum is σ = 86693112. Its totient is φ = 19660800.

The previous prime is 42018817. The next prime is 42018863. The reversal of 42018832 is 23881024.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 15968016 = 5104^2 + 3996^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42018832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65232 + ... + 65872.

Almost surely, 242018832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42018832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43346556).

42018832 is an abundant number, since it is smaller than the sum of its proper divisors (44674280).

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

42018832 is a wasteful number, since it uses less digits than its factorization.

42018832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 42018832 is about 6482.1934559222. The cubic root of 42018832 is about 347.6546095303.

Adding to 42018832 its reverse (23881024), we get a palindrome (65899856).

The spelling of 42018832 in words is "forty-two million, eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 641 964 1282 1928 2564 3856 4097 5128 8194 10256 10897 16388 21794 32776 43588 65552 87176 154481 174352 308962 617924 1235848 2471696 2626177 5252354 10504708 21009416 42018832