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249113360 = 2453113917
BaseRepresentation
bin11101101100100…
…10101100010000
3122100202021021202
432312102230100
51002233111420
640415210332
76113300006
oct1666225420
9570667252
10249113360
11118688611
126b5169a8
133c7c1c72
1425128a76
1516d0b575
hexed92b10

249113360 has 20 divisors (see below), whose sum is σ = 579188748. Its totient is φ = 99645312.

The previous prime is 249113353. The next prime is 249113387. The reversal of 249113360 is 63311942.

It can be written as a sum of positive squares in 2 ways, for example, as 28174864 + 220938496 = 5308^2 + 14864^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2491133602 = 124114932260979200, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1556879 + ... + 1557038.

Almost surely, 2249113360 is an apocalyptic number.

249113360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249113360 is an abundant number, since it is smaller than the sum of its proper divisors (330075388).

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

249113360 is a wasteful number, since it uses less digits than its factorization.

249113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113930 (or 3113924 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 249113360 is about 15783.3253783859. The cubic root of 249113360 is about 629.2149118645.

It can be divided in two parts, 2491 and 13360, that added together give a palindrome (15851).

The spelling of 249113360 in words is "two hundred forty-nine million, one hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3113917 6227834 12455668 15569585 24911336 31139170 49822672 62278340 124556680 249113360