Search a number
-
+
42435408 = 2436011471
BaseRepresentation
bin1010000111100…
…0001101010000
32221211221102210
42201320031100
541330413113
64113312120
71023460251
oct241701520
987757383
1042435408
1121a54394
1212265640
138a3a212
1458c8b28
153ad36c3
hex2878350

42435408 has 40 divisors (see below), whose sum is σ = 109881856. Its totient is φ = 14112000.

The previous prime is 42435401. The next prime is 42435431. The reversal of 42435408 is 80453424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435401) 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, 28113 + ... + 29583.

Almost surely, 242435408 is an apocalyptic number.

42435408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42435408 is an abundant number, since it is smaller than the sum of its proper divisors (67446448).

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

42435408 is a wasteful number, since it uses less digits than its factorization.

42435408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42435408 is about 6514.2465412356. The cubic root of 42435408 is about 348.7997197905.

The spelling of 42435408 in words is "forty-two million, four hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 601 1202 1471 1803 2404 2942 3606 4413 4808 5884 7212 8826 9616 11768 14424 17652 23536 28848 35304 70608 884071 1768142 2652213 3536284 5304426 7072568 10608852 14145136 21217704 42435408