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42660040 = 2351576793
BaseRepresentation
bin1010001010111…
…1000011001000
32222021100120111
42202233003020
541410110130
64122204104
71025414203
oct242570310
988240514
1042660040
1122098135
1212353634
138ab8537
14594693a
153b2a02a
hex28af0c8

42660040 has 32 divisors (see below), whose sum is σ = 96610680. Its totient is φ = 16952832.

The previous prime is 42660031. The next prime is 42660053. The reversal of 42660040 is 4006624.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 21921124 = 4554^2 + 4682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42659993 and 42660020.

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, 2884 + ... + 9676.

Almost surely, 242660040 is an apocalyptic number.

42660040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42660040 is an abundant number, since it is smaller than the sum of its proper divisors (53950640).

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

42660040 is a wasteful number, since it uses less digits than its factorization.

42660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42660040 is about 6531.4653792239. The cubic root of 42660040 is about 349.4140945624.

Adding to 42660040 its reverse (4006624), we get a palindrome (46666664).

The spelling of 42660040 in words is "forty-two million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 6793 13586 27172 33965 54344 67930 135860 271720 1066501 2133002 4266004 5332505 8532008 10665010 21330020 42660040