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42859368 = 23367349
BaseRepresentation
bin1010001101111…
…1101101101000
32222122111000000
42203133231220
541432444433
64130343000
71030204266
oct243375550
988574000
1042859368
1122213972
121242aa60
138b58196
145999436
153b69113
hex28dfb68

42859368 has 56 divisors (see below), whose sum is σ = 120503250. Its totient is φ = 14284512.

The previous prime is 42859367. The next prime is 42859423. The reversal of 42859368 is 86395824.

42859368 is a `hidden beast` number, since 4 + 285 + 9 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33385284 + 9474084 = 5778^2 + 3078^2 .

It is not an unprimeable number, because it can be changed into a prime (42859367) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2158 + ... + 9506.

Almost surely, 242859368 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 42859368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60251625).

42859368 is an abundant number, since it is smaller than the sum of its proper divisors (77643882).

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

42859368 is an equidigital number, since it uses as much as digits as its factorization.

42859368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373 (or 7354 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42859368 is about 6546.7066529668. The cubic root of 42859368 is about 349.9574587751.

The spelling of 42859368 in words is "forty-two million, eight hundred fifty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 7349 14698 22047 29396 44094 58792 66141 88188 132282 176376 198423 264564 396846 529128 595269 793692 1190538 1587384 1785807 2381076 3571614 4762152 5357421 7143228 10714842 14286456 21429684 42859368