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505439816 = 23775711923
BaseRepresentation
bin11110001000000…
…110011001001000
31022020002000002012
4132020012121020
52013343033231
6122053155052
715345111320
oct3610063110
91266060065
10505439816
1123a342462
1212132ba88
138093b11b
144b1b0280
152e58ee2b
hex1e206648

505439816 has 32 divisors (see below), whose sum is σ = 1084607040. Its totient is φ = 216312768.

The previous prime is 505439813. The next prime is 505439887. The reversal of 505439816 is 618934505.

It is a super-2 number, since 2×5054398162 = 510938815196227712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505439813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36431 + ... + 48353.

It is an arithmetic number, because the mean of its divisors is an integer number (33893970).

Almost surely, 2505439816 is an apocalyptic number.

505439816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505439816 is an abundant number, since it is smaller than the sum of its proper divisors (579167224).

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

505439816 is a wasteful number, since it uses less digits than its factorization.

505439816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 505439816 is about 22481.9887020699. The cubic root of 505439816 is about 796.5685398963.

The spelling of 505439816 in words is "five hundred five million, four hundred thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 757 1514 3028 5299 6056 10598 11923 21196 23846 42392 47692 83461 95384 166922 333844 667688 9025711 18051422 36102844 63179977 72205688 126359954 252719908 505439816