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42776406 = 2325344839
BaseRepresentation
bin1010001100101…
…1011101010110
32222111021012100
42203023131112
541422321111
64124502530
71026410361
oct243133526
988437170
1042776406
1122167602
12123aaa46
138b294aa
1459770d8
153b4e756
hex28cb756

42776406 has 24 divisors (see below), whose sum is σ = 94433040. Its totient is φ = 13989456.

The previous prime is 42776401. The next prime is 42776413. The reversal of 42776406 is 60467724.

42776406 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 640 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21466 + ... + 23373.

It is an arithmetic number, because the mean of its divisors is an integer number (3934710).

Almost surely, 242776406 is an apocalyptic number.

42776406 is an abundant number, since it is smaller than the sum of its proper divisors (51656634).

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

42776406 is a wasteful number, since it uses less digits than its factorization.

42776406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44900 (or 44897 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 42776406 is about 6540.3674208717. The cubic root of 42776406 is about 349.7315110986.

The spelling of 42776406 in words is "forty-two million, seven hundred seventy-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 44839 89678 134517 269034 403551 807102 2376467 4752934 7129401 14258802 21388203 42776406