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248383086 = 237192910733
BaseRepresentation
bin11101100111000…
…00011001101110
3122022101011112120
432303200121232
51002041224321
640351413410
76104135640
oct1663403156
9568334476
10248383086
11118229986
126b224266
133c5c7753
1424db8890
1516c14ec6
hexece066e

248383086 has 64 divisors (see below), whose sum is σ = 618278400. Its totient is φ = 64907136.

The previous prime is 248383027. The next prime is 248383099. The reversal of 248383086 is 680383842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17776 + ... + 28508.

It is an arithmetic number, because the mean of its divisors is an integer number (9660600).

Almost surely, 2248383086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248383086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309139200).

248383086 is an abundant number, since it is smaller than the sum of its proper divisors (369895314).

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

248383086 is a wasteful number, since it uses less digits than its factorization.

248383086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793.

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248383086 is about 15760.1740472623. The cubic root of 248383086 is about 628.5994637683.

The spelling of 248383086 in words is "two hundred forty-eight million, three hundred eighty-three thousand, eighty-six".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 551 609 798 1102 1218 1653 3306 3857 7714 10733 11571 21466 23142 32199 64398 75131 150262 203927 225393 311257 407854 450786 611781 622514 933771 1223562 1427489 1867542 2178799 2854978 4282467 4357598 5913883 6536397 8564934 11827766 13072794 17741649 35483298 41397181 82794362 124191543 248383086