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42687064 = 2375411409
BaseRepresentation
bin1010001011010…
…1101001011000
32222022201122101
42202311221120
541411441224
64122533144
71025556040
oct242655130
988281571
1042687064
1122106472
12123671b4
138ac7924
145952720
153b33044
hex28b5a58

42687064 has 32 divisors (see below), whose sum is σ = 91706400. Its totient is φ = 18247680.

The previous prime is 42687059. The next prime is 42687067. The reversal of 42687064 is 46078624.

It is a super-3 number, since 3×426870643 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42687067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29592 + ... + 31000.

It is an arithmetic number, because the mean of its divisors is an integer number (2865825).

Almost surely, 242687064 is an apocalyptic number.

It is an amenable number.

42687064 is an abundant number, since it is smaller than the sum of its proper divisors (49019336).

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

42687064 is a wasteful number, since it uses less digits than its factorization.

42687064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 42687064 is about 6533.5338064481. The cubic root of 42687064 is about 349.4878604983.

The spelling of 42687064 in words is "forty-two million, six hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 541 1082 1409 2164 2818 3787 4328 5636 7574 9863 11272 15148 19726 30296 39452 78904 762269 1524538 3049076 5335883 6098152 10671766 21343532 42687064