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42649684 = 22711592347
BaseRepresentation
bin1010001010110…
…0100001010100
32222020211100221
42202230201110
541404242214
64122044124
71025342050
oct242544124
988224327
1042649684
1122090380
1212349644
138ab38cc
145942c60
153b26e24
hex28ac854

42649684 has 48 divisors (see below), whose sum is σ = 94671360. Its totient is φ = 16328160.

The previous prime is 42649637. The next prime is 42649687. The reversal of 42649684 is 48694624.

It is a super-3 number, since 3×426496843 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42649684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42649687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16999 + ... + 19345.

It is an arithmetic number, because the mean of its divisors is an integer number (1972320).

Almost surely, 242649684 is an apocalyptic number.

42649684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42649684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47335680).

42649684 is an abundant number, since it is smaller than the sum of its proper divisors (52021676).

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

42649684 is a wasteful number, since it uses less digits than its factorization.

42649684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2426 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 42649684 is about 6530.6725534205. The cubic root of 42649684 is about 349.3858180988.

The spelling of 42649684 in words is "forty-two million, six hundred forty-nine thousand, six hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2347 2596 4543 4694 9086 9388 16429 18172 25817 32858 51634 65716 103268 138473 180719 276946 361438 553892 722876 969311 1523203 1938622 3046406 3877244 6092812 10662421 21324842 42649684