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42874528 = 252947983
BaseRepresentation
bin1010001110001…
…1011010100000
32222200020210111
42203203122200
541433441103
64130541104
71030266424
oct243433240
988606714
1042874528
11222242a4
1212437794
138b62058
1459a0b84
153b6d86d
hex28e36a0

42874528 has 48 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 20237056.

The previous prime is 42874463. The next prime is 42874529. The reversal of 42874528 is 82547824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42874529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43125 + ... + 44107.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 242874528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42874528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

42874528 is an abundant number, since it is smaller than the sum of its proper divisors (46393952).

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

42874528 is a wasteful number, since it uses less digits than its factorization.

42874528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its digits is 143360, while the sum is 40.

The square root of 42874528 is about 6547.8643846677. The cubic root of 42874528 is about 349.9987156415.

The spelling of 42874528 in words is "forty-two million, eight hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 752 928 983 1363 1504 1966 2726 3932 5452 7864 10904 15728 21808 28507 31456 43616 46201 57014 92402 114028 184804 228056 369608 456112 739216 912224 1339829 1478432 2679658 5359316 10718632 21437264 42874528