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507780031 = 11313793929
BaseRepresentation
bin11110010001000…
…001101110111111
31022101110220020211
4132101001232333
52014442430111
6122215253251
715404026153
oct3621015677
91271426224
10507780031
112406a0720
1212207a227
138127a375
144b61d063
152e8a3521
hex1e441bbf

507780031 has 16 divisors (see below), whose sum is σ = 573465600. Its totient is φ = 445435200.

The previous prime is 507780029. The next prime is 507780037. The reversal of 507780031 is 130087705.

It is a cyclic number.

It is not a de Polignac number, because 507780031 - 21 = 507780029 is a prime.

It is a super-2 number, since 2×5077800312 = 515681119764721922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 507779975 and 507780002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507780037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127275 + ... + 131203.

It is an arithmetic number, because the mean of its divisors is an integer number (35841600).

Almost surely, 2507780031 is an apocalyptic number.

507780031 is the 10078-th centered decagonal number.

507780031 is a deficient number, since it is larger than the sum of its proper divisors (65685569).

507780031 is a wasteful number, since it uses less digits than its factorization.

507780031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 507780031 is about 22533.9750377070. The cubic root of 507780031 is about 797.7960332181.

The spelling of 507780031 in words is "five hundred seven million, seven hundred eighty thousand, thirty-one".

Divisors: 1 11 31 341 379 3929 4169 11749 43219 121799 129239 1339789 1489091 16380001 46161821 507780031