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248430840 = 23357295751
BaseRepresentation
bin11101100111011…
…00000011111000
3122022110121001020
432303230003320
51002044241330
640352422440
76104425110
oct1663540370
9568417036
10248430840
11118261849
126b247a20
133c6133c8
1424dcc040
1516c24210
hexecec0f8

248430840 has 64 divisors (see below), whose sum is σ = 851765760. Its totient is φ = 56784000.

The previous prime is 248430713. The next prime is 248430851. The reversal of 248430840 is 48034842.

248430840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 147036 + ... + 148715.

It is an arithmetic number, because the mean of its divisors is an integer number (13308840).

Almost surely, 2248430840 is an apocalyptic number.

248430840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248430840 is an abundant number, since it is smaller than the sum of its proper divisors (603334920).

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

248430840 is a wasteful number, since it uses less digits than its factorization.

248430840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295772 (or 295768 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 248430840 is about 15761.6889957898. The cubic root of 248430840 is about 628.6397459197.

The spelling of 248430840 in words is "two hundred forty-eight million, four hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 295751 591502 887253 1183004 1478755 1774506 2070257 2366008 2957510 3549012 4140514 4436265 5915020 6210771 7098024 8281028 8872530 10351285 11830040 12421542 16562056 17745060 20702570 24843084 31053855 35490120 41405140 49686168 62107710 82810280 124215420 248430840