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42283072 = 261350821
BaseRepresentation
bin1010000101001…
…1000001000000
32221120012110201
42201103001000
541311024242
64110134544
71022254156
oct241230100
987505421
1042283072
112195a997
12121b1454
1389b5a90
1458893d6
153aa34b7
hex2853040

42283072 has 28 divisors (see below), whose sum is σ = 90361516. Its totient is φ = 19514880.

The previous prime is 42283069. The next prime is 42283079. The reversal of 42283072 is 27038224.

It can be written as a sum of positive squares in 2 ways, for example, as 26790976 + 15492096 = 5176^2 + 3936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42283072.

It is not an unprimeable number, because it can be changed into a prime (42283079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24579 + ... + 26242.

It is an arithmetic number, because the mean of its divisors is an integer number (3227197).

Almost surely, 242283072 is an apocalyptic number.

It is an amenable number.

42283072 is an abundant number, since it is smaller than the sum of its proper divisors (48078444).

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

42283072 is a wasteful number, since it uses less digits than its factorization.

42283072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50846 (or 50836 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42283072 is about 6502.5435023535. The cubic root of 42283072 is about 348.3818418488.

The spelling of 42283072 in words is "forty-two million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 50821 101642 203284 406568 660673 813136 1321346 1626272 2642692 3252544 5285384 10570768 21141536 42283072