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248129860 = 225112102533
BaseRepresentation
bin11101100101000…
…10100101000100
3122021220022011211
432302202211010
51002010123420
640342141204
76102032446
oct1662424504
9567808154
10248129860
11118076700
126b121804
133c539404
1424d50496
1516bb4e5a
hexeca2944

248129860 has 36 divisors (see below), whose sum is σ = 572754924. Its totient is φ = 90228160.

The previous prime is 248129857. The next prime is 248129863. The reversal of 248129860 is 68921842.

It is an interprime number because it is at equal distance from previous prime (248129857) and next prime (248129863).

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 157803844 = 9504^2 + 12562^2 .

It is not an unprimeable number, because it can be changed into a prime (248129863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48847 + ... + 53686.

It is an arithmetic number, because the mean of its divisors is an integer number (15909859).

Almost surely, 2248129860 is an apocalyptic number.

248129860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248129860 is an abundant number, since it is smaller than the sum of its proper divisors (324625064).

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

248129860 is a wasteful number, since it uses less digits than its factorization.

248129860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102564 (or 102551 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 248129860 is about 15752.1382675496. The cubic root of 248129860 is about 628.3857725506.

The spelling of 248129860 in words is "two hundred forty-eight million, one hundred twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 102533 205066 410132 512665 1025330 1127863 2050660 2255726 4511452 5639315 11278630 12406493 22557260 24812986 49625972 62032465 124064930 248129860