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248315730 = 235131933299
BaseRepresentation
bin11101100110011…
…11111101010010
3122022020202010220
432303033331102
51002032100410
640350133510
76103435365
oct1663177522
9568222126
10248315730
11118193313
126b1b1296
133c5a2bb0
1424d9c0dc
1516c00070
hexeccff52

248315730 has 64 divisors (see below), whose sum is σ = 645321600. Its totient is φ = 60788736.

The previous prime is 248315729. The next prime is 248315779. The reversal of 248315730 is 37513842.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 248315691 and 248315700.

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, 73621 + ... + 76919.

It is an arithmetic number, because the mean of its divisors is an integer number (10083150).

Almost surely, 2248315730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248315730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322660800).

248315730 is an abundant number, since it is smaller than the sum of its proper divisors (397005870).

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

248315730 is a wasteful number, since it uses less digits than its factorization.

248315730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 248315730 is about 15758.0369970374. The cubic root of 248315730 is about 628.5426378736.

The spelling of 248315730 in words is "two hundred forty-eight million, three hundred fifteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 965 1158 1930 2509 2895 3299 5018 5790 6598 7527 9897 12545 15054 16495 19794 25090 32990 37635 42887 49485 75270 85774 98970 128661 214435 257322 428870 636707 643305 1273414 1286610 1910121 3183535 3820242 6367070 8277191 9550605 16554382 19101210 24831573 41385955 49663146 82771910 124157865 248315730