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42823080 = 2334513217
BaseRepresentation
bin1010001101011…
…0110110101000
32222120122020000
42203112312220
541430314310
64125503000
71026663426
oct243266650
988518200
1042823080
1122199683
1212411a60
138b44801
14598a116
153b5d4c0
hex28d6da8

42823080 has 80 divisors (see below), whose sum is σ = 143944020. Its totient is φ = 11418624.

The previous prime is 42823073. The next prime is 42823127. The reversal of 42823080 is 8032824.

42823080 is a `hidden beast` number, since 428 + 230 + 8 + 0 = 666.

42823080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 599076 = 6498^2 + 774^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3369 + ... + 9848.

Almost surely, 242823080 is an apocalyptic number.

42823080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42823080 is an abundant number, since it is smaller than the sum of its proper divisors (101120940).

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

42823080 is a wasteful number, since it uses less digits than its factorization.

42823080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42823080 is about 6543.9345962502. The cubic root of 42823080 is about 349.8586640222.

The spelling of 42823080 in words is "forty-two million, eight hundred twenty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13217 26434 39651 52868 66085 79302 105736 118953 132170 158604 198255 237906 264340 317208 356859 396510 475812 528680 594765 713718 793020 951624 1070577 1189530 1427436 1586040 1784295 2141154 2379060 2854872 3568590 4282308 4758120 5352885 7137180 8564616 10705770 14274360 21411540 42823080