Search a number
-
+
5023935456 = 253313167197
BaseRepresentation
bin1001010110111001…
…10010101111100000
3110222010102100211120
410223130302233200
540242111413311
62150304212240
7235332514101
oct45334625740
913863370746
105023935456
112148976081
12b8260a080
13620abc397
143593323a8
151e60d3706
hex12b732be0

5023935456 has 48 divisors (see below), whose sum is σ = 13230043344. Its totient is φ = 1669284864.

The previous prime is 5023935439. The next prime is 5023935463. The reversal of 5023935456 is 6545393205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53551 + ... + 113646.

It is an arithmetic number, because the mean of its divisors is an integer number (275625903).

Almost surely, 25023935456 is an apocalyptic number.

It is an amenable number.

5023935456 is an abundant number, since it is smaller than the sum of its proper divisors (8206107888).

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

5023935456 is a wasteful number, since it uses less digits than its factorization.

5023935456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167523 (or 167515 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The square root of 5023935456 is about 70879.7252816347. The cubic root of 5023935456 is about 1712.7002077968.

The spelling of 5023935456 in words is "five billion, twenty-three million, nine hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 626 939 1252 1878 2504 3756 5008 7512 10016 15024 30048 167197 334394 501591 668788 1003182 1337576 2006364 2675152 4012728 5350304 8025456 16050912 52332661 104665322 156997983 209330644 313995966 418661288 627991932 837322576 1255983864 1674645152 2511967728 5023935456