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42823296 = 273312391
BaseRepresentation
bin1010001101011…
…0111010000000
32222120122112000
42203112322000
541430321141
64125504000
71026664155
oct243267200
988518460
1042823296
112219985a
1212412000
138b44939
14598a22c
153b5d5b6
hex28d6e80

42823296 has 64 divisors (see below), whose sum is σ = 126398400. Its totient is φ = 14273280.

The previous prime is 42823279. The next prime is 42823301. The reversal of 42823296 is 69232824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42823296.

It is an unprimeable number.

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, 2740 + ... + 9651.

It is an arithmetic number, because the mean of its divisors is an integer number (1974975).

Almost surely, 242823296 is an apocalyptic number.

It is an amenable number.

42823296 is an abundant number, since it is smaller than the sum of its proper divisors (83575104).

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

42823296 is a wasteful number, since it uses less digits than its factorization.

42823296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12396 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42823296 is about 6543.9511000618. The cubic root of 42823296 is about 349.8592522513.

The spelling of 42823296 in words is "forty-two million, eight hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 12391 24782 37173 49564 74346 99128 111519 148692 198256 223038 297384 334557 396512 446076 594768 669114 793024 892152 1189536 1338228 1586048 1784304 2379072 2676456 3568608 4758144 5352912 7137216 10705824 14274432 21411648 42823296