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42065436 = 22372321773
BaseRepresentation
bin1010000001110…
…1111000011100
32221011010221010
42200131320130
541232043221
64101335220
71020356520
oct240357034
987133833
1042065436
1121821426
1212107510
13893a9ba
14582dd80
153a5dc76
hex281de1c

42065436 has 48 divisors (see below), whose sum is σ = 117057024. Its totient is φ = 11495616.

The previous prime is 42065393. The next prime is 42065437. The reversal of 42065436 is 63456024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42065437) 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, 8955 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (2438688).

Almost surely, 242065436 is an apocalyptic number.

42065436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42065436 is an abundant number, since it is smaller than the sum of its proper divisors (74991588).

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

42065436 is a wasteful number, since it uses less digits than its factorization.

42065436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21810 (or 21808 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42065436 is about 6485.7872305527. The cubic root of 42065436 is about 347.7830924692.

It can be divided in two parts, 420 and 65436, that added together give a palindrome (65856).

The spelling of 42065436 in words is "forty-two million, sixty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 21773 43546 65319 87092 130638 152411 261276 304822 457233 500779 609644 914466 1001558 1502337 1828932 2003116 3004674 3505453 6009348 7010906 10516359 14021812 21032718 42065436