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42048177 = 3137263389
BaseRepresentation
bin1010000001100…
…1101010110001
32221010021020220
42200121222301
541231020202
64101123253
71020255303
oct240315261
987107226
1042048177
112180a466
12120b9529
138932ba2
145827973
153a58abc
hex2819ab1

42048177 has 16 divisors (see below), whose sum is σ = 56833920. Its totient is φ = 27650432.

The previous prime is 42048161. The next prime is 42048187. The reversal of 42048177 is 77184024.

It is a cyclic number.

It is not a de Polignac number, because 42048177 - 24 = 42048161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42048187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107899 + ... + 108287.

It is an arithmetic number, because the mean of its divisors is an integer number (3552120).

Almost surely, 242048177 is an apocalyptic number.

It is an amenable number.

42048177 is a deficient number, since it is larger than the sum of its proper divisors (14785743).

42048177 is a wasteful number, since it uses less digits than its factorization.

42048177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 42048177 is about 6484.4565693665. The cubic root of 42048177 is about 347.7355220642.

The spelling of 42048177 in words is "forty-two million, forty-eight thousand, one hundred seventy-seven".

Divisors: 1 3 137 263 389 411 789 1167 36031 53293 102307 108093 159879 306921 14016059 42048177