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508042291 = 31431273001
BaseRepresentation
bin11110010010000…
…001110000110011
31022101222020000011
4132102001300303
52020024323131
6122225035351
715406200601
oct3622016063
91271866004
10508042291
1124085a769
12122185b57
138133c853
144b68a871
152e9060b1
hex1e481c33

508042291 has 16 divisors (see below), whose sum is σ = 541032448. Its totient is φ = 476280000.

The previous prime is 508042279. The next prime is 508042303. The reversal of 508042291 is 192240805.

It is an interprime number because it is at equal distance from previous prime (508042279) and next prime (508042303).

It is a 6-Lehmer number, since φ(508042291) divides (508042291-1)6.

It is a cyclic number.

It is not a de Polignac number, because 508042291 - 27 = 508042163 is a prime.

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

It is a Duffinian number.

508042291 is a modest number, since divided by 42291 gives 508 as remainder.

It is not an unprimeable number, because it can be changed into a prime (508042231) 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 15 ways as a sum of consecutive naturals, for example, 167791 + ... + 170791.

It is an arithmetic number, because the mean of its divisors is an integer number (33814528).

Almost surely, 2508042291 is an apocalyptic number.

508042291 is a deficient number, since it is larger than the sum of its proper divisors (32990157).

508042291 is a wasteful number, since it uses less digits than its factorization.

508042291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 508042291 is about 22539.7934994977. The cubic root of 508042291 is about 797.9333590705.

The spelling of 508042291 in words is "five hundred eight million, forty-two thousand, two hundred ninety-one".

Divisors: 1 31 43 127 1333 3001 3937 5461 93031 129043 169291 381127 4000333 11814937 16388461 508042291