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42270980 = 22529312351
BaseRepresentation
bin1010000101000…
…0000100000100
32221112120212212
42201100010010
541310132410
64110002552
71022204003
oct241200404
987476785
1042270980
11219518a4
12121a6458
1389b041b
145884c3a
153a9eb05
hex2850104

42270980 has 48 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 15792000.

The previous prime is 42270979. The next prime is 42271003. The reversal of 42270980 is 8907224.

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, 16805 + ... + 19155.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 242270980 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 42270980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

42270980 is an abundant number, since it is smaller than the sum of its proper divisors (52561660).

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

42270980 is a wasteful number, since it uses less digits than its factorization.

42270980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 42270980 is about 6501.6136458575. The cubic root of 42270980 is about 348.3486289130.

The spelling of 42270980 in words is "forty-two million, two hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 2351 3596 4495 4702 8990 9404 11755 17980 23510 47020 68179 72881 136358 145762 272716 291524 340895 364405 681790 728810 1363580 1457620 2113549 4227098 8454196 10567745 21135490 42270980