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848313137 = 72127136319
BaseRepresentation
bin110010100100000…
…011101100110001
32012010020202212002
4302210003230301
53214132010022
6220102143345
730010354100
oct6244035461
92163222762
10848313137
113a593a241
121b8121b55
1310699a549
1480944037
154e71c092
hex32903b31

848313137 has 12 divisors (see below), whose sum is σ = 994590720. Its totient is φ = 721394856.

The previous prime is 848313131. The next prime is 848313187. The reversal of 848313137 is 731313848.

It is not a de Polignac number, because 848313137 - 218 = 848050993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 848313137.

It is not an unprimeable number, because it can be changed into a prime (848313131) 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 11 ways as a sum of consecutive naturals, for example, 61937 + ... + 74382.

It is an arithmetic number, because the mean of its divisors is an integer number (82882560).

Almost surely, 2848313137 is an apocalyptic number.

It is an amenable number.

848313137 is a deficient number, since it is larger than the sum of its proper divisors (146277583).

848313137 is a wasteful number, since it uses less digits than its factorization.

848313137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136460 (or 136453 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 848313137 is about 29125.8156452313. The cubic root of 848313137 is about 946.6411901468.

The spelling of 848313137 in words is "eight hundred forty-eight million, three hundred thirteen thousand, one hundred thirty-seven".

Divisors: 1 7 49 127 889 6223 136319 954233 6679631 17312513 121187591 848313137