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505616397 = 311132175333
BaseRepresentation
bin11110001000110…
…001100000001101
31022020101222022020
4132020301200031
52013414211042
6122101040353
715346445166
oct3610614015
91266358266
10505616397
1123a4530a0
121213b60b9
13809a0600
144b21876d
152e5c73ec
hex1e23180d

505616397 has 48 divisors (see below), whose sum is σ = 843369408. Its totient is φ = 266173440.

The previous prime is 505616357. The next prime is 505616399. The reversal of 505616397 is 793616505.

It is a happy number.

It is not a de Polignac number, because 505616397 - 26 = 505616333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505616399) 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, 92143 + ... + 97475.

It is an arithmetic number, because the mean of its divisors is an integer number (17570196).

Almost surely, 2505616397 is an apocalyptic number.

It is an amenable number.

505616397 is a deficient number, since it is larger than the sum of its proper divisors (337753011).

505616397 is a wasteful number, since it uses less digits than its factorization.

505616397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 505616397 is about 22485.9155250570. The cubic root of 505616397 is about 796.6612924442.

The spelling of 505616397 in words is "five hundred five million, six hundred sixteen thousand, three hundred ninety-seven".

Divisors: 1 3 11 13 17 33 39 51 143 169 187 221 429 507 561 663 1859 2431 2873 5333 5577 7293 8619 15999 31603 58663 69329 90661 94809 175989 207987 271983 762619 901277 997271 1178593 2287857 2703831 2991813 3535779 9914047 12964523 15321709 29742141 38893569 45965127 168538799 505616397