Search a number
-
+
56354500 = 2253412749
BaseRepresentation
bin1101011011111…
…0011011000100
310221001002211201
43112332123010
5103411321000
65331512244
71253001556
oct326763304
9127032751
1056354500
11298a0a74
1216a58684
13b8a1877
1476ad4d6
154e3296a
hex35be6c4

56354500 has 48 divisors (see below), whose sum is σ = 126126000. Its totient is φ = 21984000.

The previous prime is 56354491. The next prime is 56354521. The reversal of 56354500 is 545365.

It can be written as a sum of positive squares in 8 ways, for example, as 44943616 + 11410884 = 6704^2 + 3378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19126 + ... + 21874.

It is an arithmetic number, because the mean of its divisors is an integer number (2627625).

Almost surely, 256354500 is an apocalyptic number.

56354500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63063000).

56354500 is an abundant number, since it is smaller than the sum of its proper divisors (69771500).

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

56354500 is a wasteful number, since it uses less digits than its factorization.

56354500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 56354500 is about 7506.9634340391. The cubic root of 56354500 is about 383.3918415210.

Adding to 56354500 its reverse (545365), we get a palindrome (56899865).

The spelling of 56354500 in words is "fifty-six million, three hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 2749 4100 5125 5498 10250 10996 13745 20500 27490 54980 68725 112709 137450 225418 274900 343625 450836 563545 687250 1127090 1374500 2254180 2817725 5635450 11270900 14088625 28177250 56354500