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42147768 = 23313135089
BaseRepresentation
bin1010000011000…
…1111110111000
32221022022212110
42200301332320
541242212033
64103212320
71021151535
oct240617670
987268773
1042147768
1121878273
12121470a0
138969310
145851d8c
153a78363
hex2831fb8

42147768 has 32 divisors (see below), whose sum is σ = 113475600. Its totient is φ = 12968448.

The previous prime is 42147737. The next prime is 42147769. The reversal of 42147768 is 86774124.

42147768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42147769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67233 + ... + 67856.

Almost surely, 242147768 is an apocalyptic number.

It is an amenable number.

42147768 is an abundant number, since it is smaller than the sum of its proper divisors (71327832).

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

42147768 is a wasteful number, since it uses less digits than its factorization.

42147768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135111 (or 135107 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 42147768 is about 6492.1312371208. The cubic root of 42147768 is about 348.0098425014.

The spelling of 42147768 in words is "forty-two million, one hundred forty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 135089 270178 405267 540356 810534 1080712 1621068 1756157 3242136 3512314 5268471 7024628 10536942 14049256 21073884 42147768