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42781380 = 223523291069
BaseRepresentation
bin1010001100110…
…0101011000100
32222111112000120
42203030223010
541423001010
64124541540
71026431025
oct243145304
988445016
1042781380
1122170314
12123b18b0
138b2b835
145978c4c
153b50e70
hex28ccac4

42781380 has 96 divisors (see below), whose sum is σ = 129427200. Its totient is φ = 10526208.

The previous prime is 42781337. The next prime is 42781391. The reversal of 42781380 is 8318724.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39486 + ... + 40554.

It is an arithmetic number, because the mean of its divisors is an integer number (1348200).

Almost surely, 242781380 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 42781380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64713600).

42781380 is an abundant number, since it is smaller than the sum of its proper divisors (86645820).

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

42781380 is a wasteful number, since it uses less digits than its factorization.

42781380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 42781380 is about 6540.7476636849. The cubic root of 42781380 is about 349.7450660563.

The spelling of 42781380 in words is "forty-two million, seven hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1069 1334 1380 1740 2001 2138 2668 3207 3335 4002 4276 5345 6414 6670 8004 10005 10690 12828 13340 16035 20010 21380 24587 31001 32070 40020 49174 62002 64140 73761 93003 98348 122935 124004 147522 155005 186006 245870 295044 310010 368805 372012 465015 491740 620020 713023 737610 930030 1426046 1475220 1860060 2139069 2852092 3565115 4278138 7130230 8556276 10695345 14260460 21390690 42781380