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248663051 = 7133192337
BaseRepresentation
bin11101101001001…
…00110000001011
3122022220101120122
432310210300023
51002124204201
640401413455
76106413110
oct1664446013
9568811518
10248663051
1111840025a
126b33a28b
133c695000
142504c907
1516c6ce1b
hexed24c0b

248663051 has 64 divisors (see below), whose sum is σ = 347289600. Its totient is φ = 173467008.

The previous prime is 248663047. The next prime is 248663057. The reversal of 248663051 is 150366842.

It is not a de Polignac number, because 248663051 - 22 = 248663047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248663057) 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 63 ways as a sum of consecutive naturals, for example, 6720605 + ... + 6720641.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2248663051 is an apocalyptic number.

248663051 is a deficient number, since it is larger than the sum of its proper divisors (98626549).

248663051 is a wasteful number, since it uses less digits than its factorization.

248663051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 248663051 is about 15769.0535860590. The cubic root of 248663051 is about 628.8355503879.

The spelling of 248663051 in words is "two hundred forty-eight million, six hundred sixty-three thousand, fifty-one".

Divisors: 1 7 13 19 23 37 91 133 161 169 247 259 299 437 481 703 851 1183 1729 2093 2197 3059 3211 3367 3887 4921 5681 5957 6253 9139 11063 15379 16169 22477 27209 39767 41743 43771 50531 63973 73853 77441 81289 113183 118807 143819 210197 292201 353717 516971 569023 831649 960089 1006733 1471379 1544491 1869647 2732561 6720623 10811437 13087529 19127927 35523293 248663051