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248335104 = 283536101
BaseRepresentation
bin11101100110101…
…00101100000000
3122022021201201110
432303110230000
51002033210404
640350403320
76103546023
oct1663245400
9568251643
10248335104
111181a6926
126b200540
133c5ab964
1424da51ba
1516c05b89
hexecd4b00

248335104 has 72 divisors (see below), whose sum is σ = 673514352. Its totient is φ = 81203200.

The previous prime is 248335103. The next prime is 248335121. The reversal of 248335104 is 401533842.

It is not an unprimeable number, because it can be changed into a prime (248335103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37654 + ... + 43754.

It is an arithmetic number, because the mean of its divisors is an integer number (9354366).

Almost surely, 2248335104 is an apocalyptic number.

248335104 is a gapful number since it is divisible by the number (24) 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 248335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336757176).

248335104 is an abundant number, since it is smaller than the sum of its proper divisors (425179248).

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

248335104 is an equidigital number, since it uses as much as digits as its factorization.

248335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 248335104 is about 15758.6517189765. The cubic root of 248335104 is about 628.5589840905.

Adding to 248335104 its reverse (401533842), we get a palindrome (649868946).

The spelling of 248335104 in words is "two hundred forty-eight million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6101 6784 10176 12202 13568 18303 20352 24404 36606 40704 48808 73212 97616 146424 195232 292848 323353 390464 585696 646706 780928 970059 1171392 1293412 1561856 1940118 2342784 2586824 3880236 4685568 5173648 7760472 10347296 15520944 20694592 31041888 41389184 62083776 82778368 124167552 248335104