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248849916 = 223719155921
BaseRepresentation
bin11101101010100…
…10010111111100
3122100020212220120
432311102113330
51002201144131
640405414540
76111121650
oct1665222774
9570225816
10248849916
11118518697
126b40a450
133c72c093
142509aa60
1516ca8496
hexed525fc

248849916 has 48 divisors (see below), whose sum is σ = 698530560. Its totient is φ = 67357440.

The previous prime is 248849879. The next prime is 248849977. The reversal of 248849916 is 619948842.

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, 76365 + ... + 79556.

It is an arithmetic number, because the mean of its divisors is an integer number (14552720).

Almost surely, 2248849916 is an apocalyptic number.

It is an amenable number.

248849916 is an abundant number, since it is smaller than the sum of its proper divisors (449680644).

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

248849916 is a wasteful number, since it uses less digits than its factorization.

248849916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155954 (or 155952 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 248849916 is about 15774.9775277177. The cubic root of 248849916 is about 628.9930297992.

The spelling of 248849916 in words is "two hundred forty-eight million, eight hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 155921 311842 467763 623684 935526 1091447 1871052 2182894 2962499 3274341 4365788 5924998 6548682 8887497 11849996 13097364 17774994 20737493 35549988 41474986 62212479 82949972 124424958 248849916