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248171420 = 225714911897
BaseRepresentation
bin11101100101011…
…00101110011100
3122021222102012002
432302230232130
51002012441140
640343101432
76102264560
oct1662545634
9567872162
10248171420
111180a4952
126b141878
133c5522c3
1424d616a0
1516bc2415
hexecacb9c

248171420 has 48 divisors (see below), whose sum is σ = 599659200. Its totient is φ = 84509184.

The previous prime is 248171381. The next prime is 248171479. The reversal of 248171420 is 24171842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14912 + ... + 26808.

It is an arithmetic number, because the mean of its divisors is an integer number (12492900).

Almost surely, 2248171420 is an apocalyptic number.

248171420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248171420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299829600).

248171420 is an abundant number, since it is smaller than the sum of its proper divisors (351487780).

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

248171420 is a wasteful number, since it uses less digits than its factorization.

248171420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12062 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 248171420 is about 15753.4573982983. The cubic root of 248171420 is about 628.4208539858.

The spelling of 248171420 in words is "two hundred forty-eight million, one hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 745 1043 1490 2086 2980 4172 5215 10430 11897 20860 23794 47588 59485 83279 118970 166558 237940 333116 416395 832790 1665580 1772653 3545306 7090612 8863265 12408571 17726530 24817142 35453060 49634284 62042855 124085710 248171420