[go: up one dir, main page]

Search a number
-
+
56503088 = 2423532897
BaseRepresentation
bin1101011110001…
…0101100110000
310221022122122222
43113202230300
5103431044323
65335020212
71254161015
oct327425460
9127278588
1056503088
1129992674
1216b0a668
13b9243a5
14770b70c
154e619c8
hex35e2b30

56503088 has 40 divisors (see below), whose sum is σ = 116430048. Its totient is φ = 26504192.

The previous prime is 56503081. The next prime is 56503103. The reversal of 56503088 is 88030565.

56503088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56503081) 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, 18056 + ... + 20952.

Almost surely, 256503088 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 56503088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58215024).

56503088 is an abundant number, since it is smaller than the sum of its proper divisors (59926960).

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

56503088 is a wasteful number, since it uses less digits than its factorization.

56503088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 56503088 is about 7516.8535970844. The cubic root of 56503088 is about 383.7285045626.

The spelling of 56503088 in words is "fifty-six million, five hundred three thousand, eighty-eight".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 2897 4876 5794 9752 11588 19504 23176 46352 66631 133262 153541 266524 307082 533048 614164 1066096 1228328 2456656 3531443 7062886 14125772 28251544 56503088