Search a number
-
+
42150042 = 232111931103
BaseRepresentation
bin1010000011001…
…0100010011010
32221022102222200
42200302202122
541242300132
64103231030
71021161264
oct240624232
987272880
1042150042
1121879a50
1212148476
13896a36c
145852b34
153a78d7c
hex283289a

42150042 has 48 divisors (see below), whose sum is σ = 100234368. Its totient is φ = 12695040.

The previous prime is 42150029. The next prime is 42150047. The reversal of 42150042 is 24005124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42149997 and 42150024.

It is not an unprimeable number, because it can be changed into a prime (42150047) 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, 37663 + ... + 38765.

It is an arithmetic number, because the mean of its divisors is an integer number (2088216).

Almost surely, 242150042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42150042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50117184).

42150042 is an abundant number, since it is smaller than the sum of its proper divisors (58084326).

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

42150042 is a wasteful number, since it uses less digits than its factorization.

42150042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42150042 is about 6492.3063698504. The cubic root of 42150042 is about 348.0161011179.

Adding to 42150042 its reverse (24005124), we get a palindrome (66155166).

The spelling of 42150042 in words is "forty-two million, one hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 193 198 386 579 1103 1158 1737 2123 2206 3309 3474 4246 6369 6618 9927 12133 12738 19107 19854 24266 36399 38214 72798 109197 212879 218394 425758 638637 1277274 1915911 2341669 3831822 4683338 7025007 14050014 21075021 42150042