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42722127 = 3371911897
BaseRepresentation
bin1010001011111…
…0001101001111
32222101111202000
42202332031033
541414102002
64123403343
71026063210
oct242761517
988344660
1042722127
112212a848
1212383553
138b0a886
145961407
153b3d61c
hex28be34f

42722127 has 32 divisors (see below), whose sum is σ = 76147200. Its totient is φ = 23125824.

The previous prime is 42722111. The next prime is 42722131. The reversal of 42722127 is 72122724.

It is not a de Polignac number, because 42722127 - 24 = 42722111 is a prime.

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 42722127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42722167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2358 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (2379600).

Almost surely, 242722127 is an apocalyptic number.

42722127 is a deficient number, since it is larger than the sum of its proper divisors (33425073).

42722127 is a wasteful number, since it uses less digits than its factorization.

42722127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11926 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 42722127 is about 6536.2165661796. The cubic root of 42722127 is about 349.5835236655.

It can be divided in two parts, 42722 and 127, that added together give a square (42849 = 2072).

The spelling of 42722127 in words is "forty-two million, seven hundred twenty-two thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 11897 35691 83279 107073 226043 249837 321219 678129 749511 1582301 2034387 2248533 4746903 6103161 14240709 42722127