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57801331 = 73433919
BaseRepresentation
bin1101110001111…
…1101001110011
311000202121112001
43130133221303
5104244120311
65422514431
71301206000
oct334375163
9130677461
1057801331
112a699aa5
1217435a17
13bc8a293
1479688a7
15511b4c1
hex371fa73

57801331 has 16 divisors (see below), whose sum is σ = 68992000. Its totient is φ = 48379464.

The previous prime is 57801307. The next prime is 57801353. The reversal of 57801331 is 13310875.

It is not a de Polignac number, because 57801331 - 219 = 57277043 is a prime.

It is a super-2 number, since 2×578013312 = 6681987730743122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57801331.

It is not an unprimeable number, because it can be changed into a prime (57801301) 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, 12790 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (4312000).

Almost surely, 257801331 is an apocalyptic number.

57801331 is a deficient number, since it is larger than the sum of its proper divisors (11190669).

57801331 is an equidigital number, since it uses as much as digits as its factorization.

57801331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 57801331 is about 7602.7186584800. The cubic root of 57801331 is about 386.6451911213.

The spelling of 57801331 in words is "fifty-seven million, eight hundred one thousand, three hundred thirty-one".

Divisors: 1 7 43 49 301 343 2107 3919 14749 27433 168517 192031 1179619 1344217 8257333 57801331