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42860064 = 2531361563
BaseRepresentation
bin1010001101111…
…1111000100000
32222122111221210
42203133320200
541433010224
64130350120
71030206312
oct243377040
988574853
1042860064
1122214445
121242b340
138b585b0
1459997b2
153b69429
hex28dfe20

42860064 has 96 divisors (see below), whose sum is σ = 123367104. Its totient is φ = 12948480.

The previous prime is 42860053. The next prime is 42860071. The reversal of 42860064 is 46006824.

42860064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 75847 + ... + 76409.

It is an arithmetic number, because the mean of its divisors is an integer number (1285074).

Almost surely, 242860064 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 42860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61683552).

42860064 is an abundant number, since it is smaller than the sum of its proper divisors (80507040).

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

42860064 is a wasteful number, since it uses less digits than its factorization.

42860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42860064 is about 6546.7598092492. The cubic root of 42860064 is about 349.9593531028.

Adding to 42860064 its reverse (46006824), we get a palindrome (88866888).

The spelling of 42860064 in words is "forty-two million, eight hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 563 624 732 793 976 1126 1248 1464 1586 1689 1952 2252 2379 2928 3172 3378 4504 4758 5856 6344 6756 7319 9008 9516 12688 13512 14638 18016 19032 21957 25376 27024 29276 34343 38064 43914 54048 58552 68686 76128 87828 103029 117104 137372 175656 206058 234208 274744 351312 412116 446459 549488 702624 824232 892918 1098976 1339377 1648464 1785836 2678754 3296928 3571672 5357508 7143344 10715016 14286688 21430032 42860064