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248492940 = 22354141549
BaseRepresentation
bin11101100111110…
…11001110001100
3122022120202020020
432303323032030
51002103233230
640354022140
76105104133
oct1663731614
9568522206
10248492940
111182a4473
126b277950
133c635757
142500691a
1516c37810
hexecfb38c

248492940 has 24 divisors (see below), whose sum is σ = 695780400. Its totient is φ = 66264768.

The previous prime is 248492921. The next prime is 248492947. The reversal of 248492940 is 49294842.

It is a junction number, because it is equal to n+sod(n) for n = 248492892 and 248492901.

It is not an unprimeable number, because it can be changed into a prime (248492947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2070715 + ... + 2070834.

It is an arithmetic number, because the mean of its divisors is an integer number (28990850).

Almost surely, 2248492940 is an apocalyptic number.

248492940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248492940 is an abundant number, since it is smaller than the sum of its proper divisors (447287460).

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

248492940 is a wasteful number, since it uses less digits than its factorization.

248492940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141561 (or 4141559 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 248492940 is about 15763.6588392416. The cubic root of 248492940 is about 628.6921216981.

The spelling of 248492940 in words is "two hundred forty-eight million, four hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4141549 8283098 12424647 16566196 20707745 24849294 41415490 49698588 62123235 82830980 124246470 248492940