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248414120 = 2356210353
BaseRepresentation
bin11101100111001…
…11111110101000
3122022102202002222
432303213332220
51002043222440
640352213212
76104325263
oct1663477650
9568382088
10248414120
11118250229
126b23a208
133c608906
1424dc5cda
1516c1e2b5
hexece7fa8

248414120 has 16 divisors (see below), whose sum is σ = 558931860. Its totient is φ = 99365632.

The previous prime is 248414093. The next prime is 248414123. The reversal of 248414120 is 21414842.

It can be written as a sum of positive squares in 2 ways, for example, as 224580196 + 23833924 = 14986^2 + 4882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 248414120.

It is not an unprimeable number, because it can be changed into a prime (248414123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3105137 + ... + 3105216.

Almost surely, 2248414120 is an apocalyptic number.

248414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248414120 is an abundant number, since it is smaller than the sum of its proper divisors (310517740).

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

248414120 is a wasteful number, since it uses less digits than its factorization.

248414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210364 (or 6210360 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 248414120 is about 15761.1585868552. The cubic root of 248414120 is about 628.6256426085.

Adding to 248414120 its reverse (21414842), we get a palindrome (269828962).

The spelling of 248414120 in words is "two hundred forty-eight million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6210353 12420706 24841412 31051765 49682824 62103530 124207060 248414120