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248666740 = 225717310267
BaseRepresentation
bin11101101001001…
…01101001110100
3122022220120122021
432310211221310
51002124313430
640401442524
76106426630
oct1664455164
9568816567
10248666740
11118403003
126b340444
133c6968aa
142504ddc0
1516c6e07a
hexed25a74

248666740 has 48 divisors (see below), whose sum is σ = 600308352. Its totient is φ = 84756096.

The previous prime is 248666713. The next prime is 248666767. The reversal of 248666740 is 47666842.

It is an interprime number because it is at equal distance from previous prime (248666713) and next prime (248666767).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 19087 + ... + 29353.

It is an arithmetic number, because the mean of its divisors is an integer number (12506424).

Almost surely, 2248666740 is an apocalyptic number.

248666740 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 248666740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300154176).

248666740 is an abundant number, since it is smaller than the sum of its proper divisors (351641612).

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

248666740 is a wasteful number, since it uses less digits than its factorization.

248666740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10456 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 248666740 is about 15769.1705552321. The cubic root of 248666740 is about 628.8386600348.

The spelling of 248666740 in words is "two hundred forty-eight million, six hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 10267 12110 20534 24220 41068 51335 71869 102670 143738 205340 287476 359345 718690 1437380 1776191 3552382 7104764 8880955 12433337 17761910 24866674 35523820 49733348 62166685 124333370 248666740