Search a number
-
+
42041232 = 24321811613
BaseRepresentation
bin1010000001011…
…1111110010000
32221002220201200
42200113332100
541230304412
64101031200
71020226122
oct240277620
987086650
1042041232
1121805222
12120b5500
13892c98c
145825212
153a569dc
hex2817f90

42041232 has 60 divisors (see below), whose sum is σ = 118380444. Its totient is φ = 13927680.

The previous prime is 42041231. The next prime is 42041257. The reversal of 42041232 is 23214024.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 32080896 = 3156^2 + 5664^2 .

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 (42041231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25258 + ... + 26870.

Almost surely, 242041232 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 42041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59190222).

42041232 is an abundant number, since it is smaller than the sum of its proper divisors (76339212).

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

42041232 is a wasteful number, since it uses less digits than its factorization.

42041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42041232 is about 6483.9210359165. The cubic root of 42041232 is about 347.7163761198.

Adding to 42041232 its reverse (23214024), we get a palindrome (65255256).

The spelling of 42041232 in words is "forty-two million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1613 1629 2172 2896 3226 3258 4344 4839 6452 6516 8688 9678 12904 13032 14517 19356 25808 26064 29034 38712 58068 77424 116136 232272 291953 583906 875859 1167812 1751718 2335624 2627577 3503436 4671248 5255154 7006872 10510308 14013744 21020616 42041232