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42854436 = 22323732173
BaseRepresentation
bin1010001101111…
…0100000100100
32222122020020100
42203132200210
541432320221
64130304100
71030154022
oct243364044
988566210
1042854436
1122210199
1212428030
138b55b71
145997712
153b67926
hex28de824

42854436 has 36 divisors (see below), whose sum is σ = 111257692. Its totient is φ = 13898304.

The previous prime is 42854429. The next prime is 42854453. The reversal of 42854436 is 63445824.

It can be written as a sum of positive squares in 2 ways, for example, as 28836900 + 14017536 = 5370^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 a self number, because there is not a number n which added to its sum of digits gives 42854436.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14755 + ... + 17418.

Almost surely, 242854436 is an apocalyptic number.

It is an amenable number.

42854436 is an abundant number, since it is smaller than the sum of its proper divisors (68403256).

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

42854436 is a wasteful number, since it uses less digits than its factorization.

42854436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32220 (or 32215 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42854436 is about 6546.3299641860. The cubic root of 42854436 is about 349.9440345890.

The spelling of 42854436 in words is "forty-two million, eight hundred fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 32173 64346 96519 128692 193038 289557 386076 579114 1158228 1190401 2380802 3571203 4761604 7142406 10713609 14284812 21427218 42854436