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42240432 = 24313139487
BaseRepresentation
bin1010000100100…
…0100110110000
32221111000222110
42201020212300
541303143212
64105205320
71022015643
oct241104660
987430873
1042240432
1121930953
1212190840
13899c550
145877a5a
153a95a3c
hex28489b0

42240432 has 80 divisors (see below), whose sum is σ = 118603520. Its totient is φ = 12877056.

The previous prime is 42240413. The next prime is 42240433. The reversal of 42240432 is 23404224.

It is a junction number, because it is equal to n+sod(n) for n = 42240399 and 42240408.

It is not an unprimeable number, because it can be changed into a prime (42240433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86493 + ... + 86979.

It is an arithmetic number, because the mean of its divisors is an integer number (1482544).

Almost surely, 242240432 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 42240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59301760).

42240432 is an abundant number, since it is smaller than the sum of its proper divisors (76363088).

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

42240432 is a wasteful number, since it uses less digits than its factorization.

42240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42240432 is about 6499.2639583264. The cubic root of 42240432 is about 348.2646949049.

Adding to 42240432 its reverse (23404224), we get a palindrome (65644656).

The spelling of 42240432 in words is "forty-two million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 487 556 624 834 974 1112 1461 1668 1807 1948 2224 2922 3336 3614 3896 5421 5844 6331 6672 7228 7792 10842 11688 12662 14456 18993 21684 23376 25324 28912 37986 43368 50648 67693 75972 86736 101296 135386 151944 203079 270772 303888 406158 541544 812316 880009 1083088 1624632 1760018 2640027 3249264 3520036 5280054 7040072 10560108 14080144 21120216 42240432