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42180677 = 7113141431
BaseRepresentation
bin1010000011101…
…0000001000101
32221101000000022
42200322001011
541244240202
64104024525
71021346510
oct240720105
987330008
1042180677
112189aa70
1212162145
13897b2a6
14585dd77
153a82ea2
hex283a045

42180677 has 32 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 30960000.

The previous prime is 42180661. The next prime is 42180679. The reversal of 42180677 is 77608124.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42180677 - 24 = 42180661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180679) 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, 97652 + ... + 98082.

It is an arithmetic number, because the mean of its divisors is an integer number (1741824).

Almost surely, 242180677 is an apocalyptic number.

It is an amenable number.

42180677 is a deficient number, since it is larger than the sum of its proper divisors (13557691).

42180677 is a wasteful number, since it uses less digits than its factorization.

42180677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 42180677 is about 6494.6652723601. The cubic root of 42180677 is about 348.1003943621.

The spelling of 42180677 in words is "forty-two million, one hundred eighty thousand, six hundred seventy-seven".

Divisors: 1 7 11 31 41 77 217 287 341 431 451 1271 2387 3017 3157 4741 8897 13361 13981 17671 33187 93527 97867 123697 146971 194381 547801 1028797 1360667 3834607 6025811 42180677