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42270564 = 22371074703
BaseRepresentation
bin1010000100111…
…1111101100100
32221112120022110
42201033331210
541310124224
64110001020
71022202540
oct241177544
987476273
1042270564
1121951556
12121a6170
1389b018b
145884a20
153a9e929
hex284ff64

42270564 has 48 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 11961888.

The previous prime is 42270541. The next prime is 42270581. The reversal of 42270564 is 46507224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6637 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 242270564 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 42270564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

42270564 is an abundant number, since it is smaller than the sum of its proper divisors (71528604).

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

42270564 is a wasteful number, since it uses less digits than its factorization.

42270564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42270564 is about 6501.5816537209. The cubic root of 42270564 is about 348.3474861787.

Adding to 42270564 its reverse (46507224), we get a palindrome (88777788).

The spelling of 42270564 in words is "forty-two million, two hundred seventy thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 4703 8988 9406 14109 18812 28218 32921 56436 65842 98763 131684 197526 395052 503221 1006442 1509663 2012884 3019326 3522547 6038652 7045094 10567641 14090188 21135282 42270564