Search a number
-
+
52641456 = 2437156671
BaseRepresentation
bin1100100011001…
…1111010110000
310200001110111120
43020303322300
5101434011311
65120142240
71206305430
oct310637260
9120043446
1052641456
112779533a
1215767980
13aba17ba
146dc42c0
15494c706
hex3233eb0

52641456 has 40 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 15040320.

The previous prime is 52641451. The next prime is 52641473. The reversal of 52641456 is 65414625.

52641456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×526414562 = 5542245779599872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52641451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78000 + ... + 78671.

Almost surely, 252641456 is an apocalyptic number.

52641456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

52641456 is an abundant number, since it is smaller than the sum of its proper divisors (102777168).

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

52641456 is a wasteful number, since it uses less digits than its factorization.

52641456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156689 (or 156683 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 52641456 is about 7255.4431980410. The cubic root of 52641456 is about 374.7796180657.

The spelling of 52641456 in words is "fifty-two million, six hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 156671 313342 470013 626684 940026 1096697 1253368 1880052 2193394 2506736 3290091 3760104 4386788 6580182 7520208 8773576 13160364 17547152 26320728 52641456