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42759808 = 277133671
BaseRepresentation
bin1010001100011…
…1011010000000
32222110102102121
42203013122000
541421303213
64124254024
71026311110
oct243073200
988412377
1042759808
1122156093
12123a1314
138b21a80
145971040
153b4988d
hex28c7680

42759808 has 64 divisors (see below), whose sum is σ = 104872320. Its totient is φ = 16911360.

The previous prime is 42759803. The next prime is 42759839. The reversal of 42759808 is 80895724.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42759803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9813 + ... + 13483.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 242759808 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 42759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

42759808 is an abundant number, since it is smaller than the sum of its proper divisors (62112512).

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

42759808 is a wasteful number, since it uses less digits than its factorization.

42759808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 42759808 is about 6539.0984088022. The cubic root of 42759808 is about 349.6862712486.

The spelling of 42759808 in words is "forty-two million, seven hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 3671 5824 7342 11648 14684 25697 29368 47723 51394 58736 95446 102788 117472 190892 205576 234944 334061 381784 411152 469888 668122 763568 822304 1336244 1527136 1644608 2672488 3054272 3289216 5344976 6108544 10689952 21379904 42759808