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42272692 = 2273112801
BaseRepresentation
bin1010000101000…
…0011110110100
32221112200020021
42201100132310
541310211232
64110014524
71022212000
oct241203664
987480207
1042272692
1121953110
12121a7444
1389b1137
145885700
153aa0397
hex28507b4

42272692 has 48 divisors (see below), whose sum is σ = 94147200. Its totient is φ = 16464000.

The previous prime is 42272687. The next prime is 42272719. The reversal of 42272692 is 29627224.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13692 + ... + 16492.

It is an arithmetic number, because the mean of its divisors is an integer number (1961400).

Almost surely, 242272692 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 42272692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073600).

42272692 is an abundant number, since it is smaller than the sum of its proper divisors (51874508).

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

42272692 is a wasteful number, since it uses less digits than its factorization.

42272692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2821 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 42272692 is about 6501.7453041472. The cubic root of 42272692 is about 348.3533316256.

The spelling of 42272692 in words is "forty-two million, two hundred seventy-two thousand, six hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 1078 1372 2156 2801 3773 5602 7546 11204 15092 19607 30811 39214 61622 78428 123244 137249 215677 274498 431354 548996 862708 960743 1509739 1921486 3019478 3842972 6038956 10568173 21136346 42272692