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42781158 = 23272631291
BaseRepresentation
bin1010001100110…
…0100111100110
32222111111201100
42203030213212
541422444113
64124540530
71026430260
oct243144746
988444640
1042781158
1122170132
12123b1746
138b2b6c4
145978b30
153b50d73
hex28cc9e6

42781158 has 48 divisors (see below), whose sum is σ = 106419456. Its totient is φ = 12167280.

The previous prime is 42781099. The next prime is 42781159. The reversal of 42781158 is 85118724.

42781158 is a `hidden beast` number, since 427 + 81 + 158 = 666.

42781158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42781159) 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 23 ways as a sum of consecutive naturals, for example, 32493 + ... + 33783.

It is an arithmetic number, because the mean of its divisors is an integer number (2217072).

Almost surely, 242781158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42781158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53209728).

42781158 is an abundant number, since it is smaller than the sum of its proper divisors (63638298).

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

42781158 is a wasteful number, since it uses less digits than its factorization.

42781158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1566 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 42781158 is about 6540.7306931260. The cubic root of 42781158 is about 349.7444610926.

The spelling of 42781158 in words is "forty-two million, seven hundred eighty-one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 526 789 1291 1578 1841 2367 2582 3682 3873 4734 5523 7746 9037 11046 11619 16569 18074 23238 27111 33138 54222 81333 162666 339533 679066 1018599 2037198 2376731 3055797 4753462 6111594 7130193 14260386 21390579 42781158