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42545220 = 22351753787
BaseRepresentation
bin1010001001001…
…1000001000100
32222001112001220
42202103001010
541342421340
64115520340
71024425354
oct242230104
988045056
1042545220
1122019943
12122b90b0
138a781b3
145916b64
153b05ed0
hex2893044

42545220 has 96 divisors (see below), whose sum is σ = 128677248. Its totient is φ = 10463232.

The previous prime is 42545183. The next prime is 42545221. The reversal of 42545220 is 2254524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42545221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53667 + ... + 54453.

It is an arithmetic number, because the mean of its divisors is an integer number (1340388).

Almost surely, 242545220 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 42545220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64338624).

42545220 is an abundant number, since it is smaller than the sum of its proper divisors (86132028).

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

42545220 is a wasteful number, since it uses less digits than its factorization.

42545220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42545220 is about 6522.6696988273. The cubic root of 42545220 is about 349.1003288424.

Adding to 42545220 its reverse (2254524), we get a palindrome (44799744).

The spelling of 42545220 in words is "forty-two million, five hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 787 795 901 1020 1060 1574 1590 1802 2361 2703 3148 3180 3604 3935 4505 4722 5406 7870 9010 9444 10812 11805 13379 13515 15740 18020 23610 26758 27030 40137 41711 47220 53516 54060 66895 80274 83422 125133 133790 160548 166844 200685 208555 250266 267580 401370 417110 500532 625665 709087 802740 834220 1251330 1418174 2127261 2502660 2836348 3545435 4254522 7090870 8509044 10636305 14181740 21272610 42545220