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42894528 = 263415449
BaseRepresentation
bin1010001110100…
…0010011000000
32222201021020020
42203220103000
541440111103
64131213440
71030411635
oct243502300
988637206
1042894528
1122238326
1212447280
138b6b1a1
1459a818c
153b74753
hex28e84c0

42894528 has 56 divisors (see below), whose sum is σ = 116281200. Its totient is φ = 13946880.

The previous prime is 42894497. The next prime is 42894541. The reversal of 42894528 is 82549824.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42894528.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5148 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (2076450).

Almost surely, 242894528 is an apocalyptic number.

42894528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58140600).

42894528 is an abundant number, since it is smaller than the sum of its proper divisors (73386672).

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

42894528 is a wasteful number, since it uses less digits than its factorization.

42894528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5495 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 42894528 is about 6549.3914221094. The cubic root of 42894528 is about 350.0531293496.

The spelling of 42894528 in words is "forty-two million, eight hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 5449 7872 10898 16347 21796 32694 43592 65388 87184 130776 174368 223409 261552 348736 446818 523104 670227 893636 1046208 1340454 1787272 2680908 3574544 5361816 7149088 10723632 14298176 21447264 42894528