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42544116 = 2234196911
BaseRepresentation
bin1010001001001…
…0101111110100
32222001110120000
42202102233310
541342402431
64115511300
71024422216
oct242225764
988043500
1042544116
112201902a
12122b8530
138a77844
1459165b6
153b059e6
hex2892bf4

42544116 has 60 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 13433040.

The previous prime is 42544109. The next prime is 42544127. The reversal of 42544116 is 61144524.

42544116 is a `hidden beast` number, since 4 + 2 + 544 + 116 = 666.

42544116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42544116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2701 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 242544116 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 42544116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

42544116 is an abundant number, since it is smaller than the sum of its proper divisors (74545164).

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

42544116 is a wasteful number, since it uses less digits than its factorization.

42544116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6935 counting only the distinct ones).

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

The square root of 42544116 is about 6522.5850703536. The cubic root of 42544116 is about 349.0973092310.

The spelling of 42544116 in words is "forty-two million, five hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 6911 13822 20733 27644 41466 62199 82932 124398 131309 186597 248796 262618 373194 393927 525236 559791 746388 787854 1119582 1181781 1575708 2239164 2363562 3545343 4727124 7090686 10636029 14181372 21272058 42544116