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42767076 = 223112811153
BaseRepresentation
bin1010001100100…
…1001011100100
32222110210101210
42203021023210
541422021301
64124351420
71026341232
oct243111344
988423353
1042767076
11221605a0
12123a5570
138b25181
145973952
153b4bad6
hex28c92e4

42767076 has 48 divisors (see below), whose sum is σ = 109343808. Its totient is φ = 12902400.

The previous prime is 42767071. The next prime is 42767077. The reversal of 42767076 is 67076724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42767071) 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, 36516 + ... + 37668.

It is an arithmetic number, because the mean of its divisors is an integer number (2277996).

Almost surely, 242767076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42767076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54671904).

42767076 is an abundant number, since it is smaller than the sum of its proper divisors (66576732).

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

42767076 is a wasteful number, since it uses less digits than its factorization.

42767076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 42767076 is about 6539.6541192941. The cubic root of 42767076 is about 349.7060824994.

The spelling of 42767076 in words is "forty-two million, seven hundred sixty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1153 1686 2306 3091 3372 3459 4612 6182 6918 9273 12364 12683 13836 18546 25366 37092 38049 50732 76098 152196 323993 647986 971979 1295972 1943958 3563923 3887916 7127846 10691769 14255692 21383538 42767076