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248990805 = 32572112921
BaseRepresentation
bin11101101011101…
…00110001010101
3122100112001011200
432311310301111
51002220201210
640412423113
76112246500
oct1665646125
9570461150
10248990805
11118604528
126b477a99
133c77b24b
14250d6137
1516cd50c0
hexed74c55

248990805 has 36 divisors (see below), whose sum is σ = 502051212. Its totient is φ = 113823360.

The previous prime is 248990803. The next prime is 248990843. The reversal of 248990805 is 508099842.

248990805 is a `hidden beast` number, since 2 + 489 + 90 + 80 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196196049 + 52794756 = 14007^2 + 7266^2 .

It is not a de Polignac number, because 248990805 - 21 = 248990803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248990803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54256 + ... + 58665.

It is an arithmetic number, because the mean of its divisors is an integer number (13945867).

Almost surely, 2248990805 is an apocalyptic number.

It is an amenable number.

248990805 is an abundant number, since it is smaller than the sum of its proper divisors (253060407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248990805 is a wasteful number, since it uses less digits than its factorization.

248990805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112946 (or 112936 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 248990805 is about 15779.4424806455. The cubic root of 248990805 is about 629.1117110799. Note that the first 3 decimals are identical.

The spelling of 248990805 in words is "two hundred forty-eight million, nine hundred ninety thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 112921 338763 564605 790447 1016289 1693815 2371341 3952235 5081445 5533129 7114023 11856705 16599387 27665645 35570115 49798161 82996935 248990805