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42766380 = 2234526399
BaseRepresentation
bin1010001100100…
…1000000101100
32222110202110000
42203021000230
541422011010
64124344300
71026336216
oct243110054
988422400
1042766380
1122160018
12123a5090
138b24a67
1459735b6
153b4b7c0
hex28c902c

42766380 has 60 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 11403936.

The previous prime is 42766379. The next prime is 42766417. The reversal of 42766380 is 8366724.

42766380 is a `hidden beast` number, since 4 + 276 + 6 + 380 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11580 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 242766380 is an apocalyptic number.

It is an amenable number.

42766380 is an abundant number, since it is smaller than the sum of its proper divisors (91398420).

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

42766380 is a wasteful number, since it uses less digits than its factorization.

42766380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42766380 is about 6539.6009052541. The cubic root of 42766380 is about 349.7041854267.

The spelling of 42766380 in words is "forty-two million, seven hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 26399 52798 79197 105596 131995 158394 237591 263990 316788 395985 475182 527980 712773 791970 950364 1187955 1425546 1583940 2138319 2375910 2851092 3563865 4276638 4751820 7127730 8553276 10691595 14255460 21383190 42766380