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248445966 = 23314013331
BaseRepresentation
bin11101100111011…
…11110000001110
3122022111100210110
432303233300032
51002100232331
640353020450
76104520156
oct1663576016
9568440713
10248445966
1111827214a
126b254726
133c61a262
1424dd3766
1516c28946
hexecefc0e

248445966 has 32 divisors (see below), whose sum is σ = 514354176. Its totient is φ = 79920000.

The previous prime is 248445947. The next prime is 248445971. The reversal of 248445966 is 669544842.

It is a congruent number.

It is an unprimeable number.

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, 72921 + ... + 76251.

It is an arithmetic number, because the mean of its divisors is an integer number (16073568).

Almost surely, 2248445966 is an apocalyptic number.

248445966 is an abundant number, since it is smaller than the sum of its proper divisors (265908210).

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

248445966 is a wasteful number, since it uses less digits than its factorization.

248445966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768.

The product of its digits is 1658880, while the sum is 48.

The square root of 248445966 is about 15762.1688228492. The cubic root of 248445966 is about 628.6525041476.

The spelling of 248445966 in words is "two hundred forty-eight million, four hundred forty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 31 62 93 186 401 802 1203 2406 3331 6662 9993 12431 19986 24862 37293 74586 103261 206522 309783 619566 1335731 2671462 4007193 8014386 41407661 82815322 124222983 248445966