Search a number
-
+
506049096 = 23377014297
BaseRepresentation
bin11110001010011…
…011001001001000
31022021012221212010
4132022123021020
52014022032341
6122114215520
715353226540
oct3612331110
91267187763
10506049096
1123a7191a3
121215845a0
1380ac2547
144b2cc320
152e660716
hex1e29b248

506049096 has 64 divisors (see below), whose sum is σ = 1448254080. Its totient is φ = 144345600.

The previous prime is 506049029. The next prime is 506049113. The reversal of 506049096 is 690940605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115620 + ... + 119916.

It is an arithmetic number, because the mean of its divisors is an integer number (22628970).

Almost surely, 2506049096 is an apocalyptic number.

506049096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506049096 is an abundant number, since it is smaller than the sum of its proper divisors (942204984).

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

506049096 is a wasteful number, since it uses less digits than its factorization.

506049096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 506049096 is about 22495.5350236441. The cubic root of 506049096 is about 796.8884846130. Note that the first 3 decimals are identical.

The spelling of 506049096 in words is "five hundred six million, forty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 701 1402 2103 2804 4206 4297 4907 5608 8412 8594 9814 12891 14721 16824 17188 19628 25782 29442 30079 34376 39256 51564 58884 60158 90237 103128 117768 120316 180474 240632 360948 721896 3012197 6024394 9036591 12048788 18073182 21085379 24097576 36146364 42170758 63256137 72292728 84341516 126512274 168683032 253024548 506049096