Search a number
-
+
42572288 = 29117559
BaseRepresentation
bin1010001001100…
…1101000000000
32222002220012102
42202121220000
541344303123
64120245532
71024600313
oct242315000
988086172
1042572288
1122038210
12123108a8
138a87605
14592297a
153b0e028
hex2899a00

42572288 has 40 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 19348480.

The previous prime is 42572273. The next prime is 42572329. The reversal of 42572288 is 88227524.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853 + ... + 9411.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 242572288 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 42572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

42572288 is an abundant number, since it is smaller than the sum of its proper divisors (50234272).

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

42572288 is an equidigital number, since it uses as much as digits as its factorization.

42572288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7572 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The square root of 42572288 is about 6524.7442861770. The cubic root of 42572288 is about 349.1743476899.

The spelling of 42572288 in words is "forty-two million, five hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 7559 15118 30236 60472 83149 120944 166298 241888 332596 483776 665192 967552 1330384 1935104 2660768 3870208 5321536 10643072 21286144 42572288