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42828320 = 255267677
BaseRepresentation
bin1010001101100…
…0001000100000
32222120220102002
42203120020200
541431001240
64125543132
71030014623
oct243301040
988526362
1042828320
11221a2607
1212414aa8
138b47002
14598bdba
153b5ed15
hex28d8220

42828320 has 24 divisors (see below), whose sum is σ = 101182284. Its totient is φ = 17131264.

The previous prime is 42828271. The next prime is 42828347. The reversal of 42828320 is 2382824.

It can be written as a sum of positive squares in 2 ways, for example, as 41011216 + 1817104 = 6404^2 + 1348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133679 + ... + 133998.

Almost surely, 242828320 is an apocalyptic number.

42828320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42828320 is an abundant number, since it is smaller than the sum of its proper divisors (58353964).

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

42828320 is a wasteful number, since it uses less digits than its factorization.

42828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267692 (or 267684 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 42828320 is about 6544.3349547529. The cubic root of 42828320 is about 349.8729334663.

The spelling of 42828320 in words is "forty-two million, eight hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 267677 535354 1070708 1338385 2141416 2676770 4282832 5353540 8565664 10707080 21414160 42828320