Search a number
-
+
42557472 = 2532147769
BaseRepresentation
bin1010001001011…
…0000000100000
32222002010212200
42202112000200
541343314342
64120053200
71024506156
oct242260040
988063780
1042557472
1122028071
1212304200
138a80949
14591b3d6
153b0994c
hex2896020

42557472 has 36 divisors (see below), whose sum is σ = 121023630. Its totient is φ = 14185728.

The previous prime is 42557453. The next prime is 42557497. The reversal of 42557472 is 27475524.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 1648656 = 6396^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×425574722 = 3622276846061568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73597 + ... + 74172.

Almost surely, 242557472 is an apocalyptic number.

It is an amenable number.

42557472 is an abundant number, since it is smaller than the sum of its proper divisors (78466158).

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

42557472 is a wasteful number, since it uses less digits than its factorization.

42557472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147785 (or 147774 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 42557472 is about 6523.6088172115. The cubic root of 42557472 is about 349.1338364587.

The spelling of 42557472 in words is "forty-two million, five hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147769 295538 443307 591076 886614 1182152 1329921 1773228 2364304 2659842 3546456 4728608 5319684 7092912 10639368 14185824 21278736 42557472