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42654114 = 234281937
BaseRepresentation
bin1010001010110…
…1100110100010
32222021001110000
42202231212202
541404412424
64122120430
71025361006
oct242554642
988231400
1042654114
1122093738
1212350116
138ab5929
145944706
153b283c9
hex28ad9a2

42654114 has 40 divisors (see below), whose sum is σ = 96019308. Its totient is φ = 14152320.

The previous prime is 42654083. The next prime is 42654133. The reversal of 42654114 is 41145624.

42654114 is a `hidden beast` number, since 4 + 2 + 654 + 1 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41177889 + 1476225 = 6417^2 + 1215^2 .

It is a super-2 number, since 2×426541142 = 3638746882249992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45054 + ... + 45990.

Almost surely, 242654114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42654114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009654).

42654114 is an abundant number, since it is smaller than the sum of its proper divisors (53365194).

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

42654114 is a wasteful number, since it uses less digits than its factorization.

42654114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42654114 is about 6531.0117133565. The cubic root of 42654114 is about 349.3979145197.

Adding to 42654114 its reverse (41145624), we get a palindrome (83799738).

The spelling of 42654114 in words is "forty-two million, six hundred fifty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 937 1686 1874 2529 2811 5058 5622 7587 8433 15174 16866 22761 25299 45522 50598 75897 151794 263297 526594 789891 1579782 2369673 4739346 7109019 14218038 21327057 42654114