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508642141 = 71923143151
BaseRepresentation
bin11110010100010…
…100001101011101
31022110002200211211
4132110110031131
52020203022031
6122245544421
715414246460
oct3624241535
91273080754
10508642141
1124112a407
12122415111
13814bc8a7
144b7a52d7
152e9c3bb1
hex1e51435d

508642141 has 48 divisors (see below), whose sum is σ = 652320768. Its totient is φ = 387828000.

The previous prime is 508642129. The next prime is 508642153. The reversal of 508642141 is 141246805.

It is an interprime number because it is at equal distance from previous prime (508642129) and next prime (508642153).

It is not a de Polignac number, because 508642141 - 25 = 508642109 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508642111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368416 + ... + 3368566.

It is an arithmetic number, because the mean of its divisors is an integer number (13590016).

Almost surely, 2508642141 is an apocalyptic number.

It is an amenable number.

508642141 is a deficient number, since it is larger than the sum of its proper divisors (143678627).

508642141 is a wasteful number, since it uses less digits than its factorization.

508642141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 508642141 is about 22553.0960402336. The cubic root of 508642141 is about 798.2472778650.

Adding to 508642141 its reverse (141246805), we get a palindrome (649888946).

The spelling of 508642141 in words is "five hundred eight million, six hundred forty-two thousand, one hundred forty-one".

Divisors: 1 7 19 31 43 133 151 217 301 361 589 817 1057 1333 2527 2869 4123 4681 5719 6493 9331 11191 15523 20083 25327 32767 45451 54511 78337 88939 108661 123367 177289 201283 381577 481213 622573 863569 1408981 1689841 2343973 3368491 3824377 11828887 16407811 26770639 72663163 508642141