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42435232 = 257389487
BaseRepresentation
bin1010000111100…
…0001010100000
32221211221012021
42201320022200
541330411412
64113311224
71023456610
oct241701240
987757167
1042435232
1121a54244
1212265514
138a3a108
1458c8a40
153ad3607
hex28782a0

42435232 has 48 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 18102528.

The previous prime is 42435221. The next prime is 42435233. The reversal of 42435232 is 23253424.

It is a junction number, because it is equal to n+sod(n) for n = 42435197 and 42435206.

It is not an unprimeable number, because it can be changed into a prime (42435233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86893 + ... + 87379.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 242435232 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 42435232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

42435232 is an abundant number, since it is smaller than the sum of its proper divisors (53486048).

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

42435232 is a wasteful number, since it uses less digits than its factorization.

42435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its digits is 5760, while the sum is 25.

The square root of 42435232 is about 6514.2330323684. The cubic root of 42435232 is about 348.7992375765.

Adding to 42435232 its reverse (23253424), we get a palindrome (65688656).

The spelling of 42435232 in words is "forty-two million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 389 487 778 974 1556 1948 2723 3112 3409 3896 5446 6224 6818 7792 10892 12448 13636 15584 21784 27272 43568 54544 87136 109088 189443 378886 757772 1326101 1515544 2652202 3031088 5304404 6062176 10608808 21217616 42435232