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42830064 = 2432436917
BaseRepresentation
bin1010001101100…
…0100011110000
32222120222210200
42203120203300
541431030224
64125555200
71030022664
oct243304360
988528720
1042830064
11221a3952
1212415b00
138b47a44
14598c8a4
153b605c9
hex28d88f0

42830064 has 60 divisors (see below), whose sum is σ = 122669976. Its totient is φ = 13942656.

The previous prime is 42830063. The next prime is 42830077. The reversal of 42830064 is 46003824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42830063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2734 + ... + 9650.

Almost surely, 242830064 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 42830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334988).

42830064 is an abundant number, since it is smaller than the sum of its proper divisors (79839912).

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

42830064 is a wasteful number, since it uses less digits than its factorization.

42830064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42830064 is about 6544.4681984100. The cubic root of 42830064 is about 349.8776824277.

Adding to 42830064 its reverse (46003824), we get a palindrome (88833888).

The spelling of 42830064 in words is "forty-two million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 6917 13834 20751 27668 41502 55336 62253 83004 110672 124506 166008 249012 297431 332016 498024 594862 892293 996048 1189724 1784586 2379448 2676879 3569172 4758896 5353758 7138344 10707516 14276688 21415032 42830064