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42736122 = 232111316603
BaseRepresentation
bin1010001100000…
…1100111111010
32222102012221100
42203001213322
541420023442
64123552230
71026152052
oct243014772
988365840
1042736122
112213a310
121238b676
138b14060
145966562
153b4284c
hex28c19fa

42736122 has 48 divisors (see below), whose sum is σ = 108789408. Its totient is φ = 11953440.

The previous prime is 42736117. The next prime is 42736123. The reversal of 42736122 is 22163724.

42736122 is a `hidden beast` number, since 42 + 7 + 3 + 612 + 2 = 666.

42736122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427361222 = 3652752247197768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42736123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5728 + ... + 10875.

It is an arithmetic number, because the mean of its divisors is an integer number (2266446).

Almost surely, 242736122 is an apocalyptic number.

42736122 is an abundant number, since it is smaller than the sum of its proper divisors (66053286).

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

42736122 is a wasteful number, since it uses less digits than its factorization.

42736122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16632 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42736122 is about 6537.2870519811. The cubic root of 42736122 is about 349.6216919219.

Adding to 42736122 its reverse (22163724), we get a palindrome (64899846).

It can be divided in two parts, 42 and 736122, that added together give a square (736164 = 8582).

The spelling of 42736122 in words is "forty-two million, seven hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 16603 33206 49809 99618 149427 182633 215839 298854 365266 431678 547899 647517 1095798 1295034 1643697 1942551 2374229 3287394 3885102 4748458 7122687 14245374 21368061 42736122