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42290784 = 2532146843
BaseRepresentation
bin1010000101010…
…0111001100000
32221120121001100
42201110321200
541311301114
64110234400
71022315514
oct241247140
987517040
1042290784
1121965768
12121b5a00
1389b9443
14588c144
153aa5909
hex2854e60

42290784 has 36 divisors (see below), whose sum is σ = 120265236. Its totient is φ = 14096832.

The previous prime is 42290783. The next prime is 42290797. The reversal of 42290784 is 48709224.

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

It is a super-2 number, since 2×422907842 = 3577020822669312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42290783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73134 + ... + 73709.

It is an arithmetic number, because the mean of its divisors is an integer number (3340701).

Almost surely, 242290784 is an apocalyptic number.

It is an amenable number.

42290784 is an abundant number, since it is smaller than the sum of its proper divisors (77974452).

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

42290784 is a wasteful number, since it uses less digits than its factorization.

42290784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146859 (or 146848 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42290784 is about 6503.1364740408. The cubic root of 42290784 is about 348.4030209899.

The spelling of 42290784 in words is "forty-two million, two hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 146843 293686 440529 587372 881058 1174744 1321587 1762116 2349488 2643174 3524232 4698976 5286348 7048464 10572696 14096928 21145392 42290784