Search a number
-
+
42396048 = 243432713
BaseRepresentation
bin1010000110111…
…0100110010000
32221202221110000
42201232212100
541323133143
64112410000
71023234432
oct241564620
987687400
1042396048
1121a27862
1212246900
138a25326
1458b8652
153ac6bd3
hex286e990

42396048 has 50 divisors (see below), whose sum is σ = 122710214. Its totient is φ = 14131584.

The previous prime is 42396047. The next prime is 42396083. The reversal of 42396048 is 84069324.

It is a happy number.

42396048 is a `hidden beast` number, since 42 + 3 + 9 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 5817744 = 6048^2 + 2412^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42396041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15061 + ... + 17652.

Almost surely, 242396048 is an apocalyptic number.

42396048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42396048 is an abundant number, since it is smaller than the sum of its proper divisors (80314166).

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

42396048 is a wasteful number, since it uses less digits than its factorization.

42396048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32733 (or 32718 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42396048 is about 6511.2247695806. The cubic root of 42396048 is about 348.6918460092.

The spelling of 42396048 in words is "forty-two million, three hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 32713 65426 98139 130852 196278 261704 294417 392556 523408 588834 785112 883251 1177668 1570224 1766502 2355336 2649753 3533004 4710672 5299506 7066008 10599012 14132016 21198024 42396048