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42240177 = 337223493
BaseRepresentation
bin1010000100100…
…0100010110001
32221111000122000
42201020202301
541303141202
64105204213
71022015130
oct241104261
987430560
1042240177
1121930741
1212190669
13899c3b5
145877917
153a9591c
hex28488b1

42240177 has 16 divisors (see below), whose sum is σ = 71518080. Its totient is φ = 24137136.

The previous prime is 42240161. The next prime is 42240179. The reversal of 42240177 is 77104224.

It is a happy number.

It is not a de Polignac number, because 42240177 - 24 = 42240161 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 42240177.

It is not an unprimeable number, because it can be changed into a prime (42240179) 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, 111558 + ... + 111935.

It is an arithmetic number, because the mean of its divisors is an integer number (4469880).

Almost surely, 242240177 is an apocalyptic number.

It is an amenable number.

42240177 is a deficient number, since it is larger than the sum of its proper divisors (29277903).

42240177 is a wasteful number, since it uses less digits than its factorization.

42240177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223509 (or 223503 counting only the distinct ones).

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

The square root of 42240177 is about 6499.2443406907. The cubic root of 42240177 is about 348.2639940939.

The spelling of 42240177 in words is "forty-two million, two hundred forty thousand, one hundred seventy-seven".

Divisors: 1 3 7 9 21 27 63 189 223493 670479 1564451 2011437 4693353 6034311 14080059 42240177