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248406066 = 232101139983
BaseRepresentation
bin11101100111001…
…10000000110010
3122022102100001200
432303212000302
51002042443231
640352112030
76104262636
oct1663460062
9568370050
10248406066
11118245177
126b235616
133c60504c
1424dc2dc6
1516c1bbe6
hexece6032

248406066 has 48 divisors (see below), whose sum is σ = 548009280. Its totient is φ = 81309600.

The previous prime is 248406061. The next prime is 248406077. The reversal of 248406066 is 660604842.

It is a happy number.

248406066 is a `hidden beast` number, since 2 + 4 + 8 + 40 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248406066.

It is not an unprimeable number, because it can be changed into a prime (248406061) 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 23 ways as a sum of consecutive naturals, for example, 252211 + ... + 253193.

It is an arithmetic number, because the mean of its divisors is an integer number (11416860).

Almost surely, 2248406066 is an apocalyptic number.

248406066 is an abundant number, since it is smaller than the sum of its proper divisors (299603214).

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

248406066 is a wasteful number, since it uses less digits than its factorization.

248406066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 248406066 is about 15760.9030832627. The cubic root of 248406066 is about 628.6188488378.

The spelling of 248406066 in words is "two hundred forty-eight million, four hundred six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 101 139 202 278 303 417 606 834 909 983 1251 1818 1966 2502 2949 5898 8847 14039 17694 28078 42117 84234 99283 126351 136637 198566 252702 273274 297849 409911 595698 819822 893547 1229733 1787094 2459466 13800337 27600674 41401011 82802022 124203033 248406066