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42201985 = 572281613
BaseRepresentation
bin1010000011111…
…1001110000001
32221102002020111
42200333032001
541300430420
64104311321
71021465600
oct240771601
987362214
1042201985
1121904a81
1212172541
138987bb7
145867a37
153a8945a
hex283f381

42201985 has 24 divisors (see below), whose sum is σ = 59216616. Its totient is φ = 28788480.

The previous prime is 42201967. The next prime is 42202001. The reversal of 42201985 is 58910224.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 42107121 = 308^2 + 6489^2 .

It is not a de Polignac number, because 42201985 - 25 = 42201953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68539 + ... + 69151.

It is an arithmetic number, because the mean of its divisors is an integer number (2467359).

Almost surely, 242201985 is an apocalyptic number.

It is an amenable number.

42201985 is a deficient number, since it is larger than the sum of its proper divisors (17014631).

42201985 is a wasteful number, since it uses less digits than its factorization.

42201985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 42201985 is about 6496.3054885065. The cubic root of 42201985 is about 348.1589999852.

The spelling of 42201985 in words is "forty-two million, two hundred one thousand, nine hundred eighty-five".

Divisors: 1 5 7 35 49 245 281 613 1405 1967 3065 4291 9835 13769 21455 30037 68845 150185 172253 861265 1205771 6028855 8440397 42201985