Search a number
-
+
248010336 = 2534713669
BaseRepresentation
bin11101100100001…
…01011001100000
3122021200020020000
432302011121200
51001442312321
640335420000
76101024130
oct1662053140
9567606200
10248010336
11117aa4922
126b084600
133c4c6ba2
1424d1cac0
1516b8e826
hexec85660

248010336 has 120 divisors (see below), whose sum is σ = 833651280. Its totient is φ = 70854912.

The previous prime is 248010293. The next prime is 248010341. The reversal of 248010336 is 633010842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11310 + ... + 24978.

It is an arithmetic number, because the mean of its divisors is an integer number (6947094).

Almost surely, 2248010336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248010336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416825640).

248010336 is an abundant number, since it is smaller than the sum of its proper divisors (585640944).

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

248010336 is a wasteful number, since it uses less digits than its factorization.

248010336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 248010336 is about 15748.3439129326. The cubic root of 248010336 is about 628.2848586663.

The spelling of 248010336 in words is "two hundred forty-eight million, ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 13669 18144 27338 41007 54676 82014 95683 109352 123021 164028 191366 218704 246042 287049 328056 369063 382732 437408 492084 574098 656112 738126 765464 861147 984168 1107189 1148196 1312224 1476252 1530928 1722294 1968336 2214378 2296392 2583441 2952504 3061856 3444588 3936672 4428756 4592784 5166882 5905008 6889176 7750323 8857512 9185568 10333764 11810016 13778352 15500646 17715024 20667528 27556704 31001292 35430048 41335056 62002584 82670112 124005168 248010336