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248271296 = 2671347907
BaseRepresentation
bin11101100110001…
…01000111000000
3122022011111012012
432303011013000
51002024140141
640345152052
76103162010
oct1663050700
9568144165
10248271296
11118162999
126b18b628
133c5888c0
1424d89c40
1516be1ceb
hexecc51c0

248271296 has 112 divisors (see below), whose sum is σ = 619938816. Its totient is φ = 96021504.

The previous prime is 248271259. The next prime is 248271301. The reversal of 248271296 is 692172842.

It is a tau number, because it is divible by the number of its divisors (112).

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, 273275 + ... + 274181.

It is an arithmetic number, because the mean of its divisors is an integer number (5535168).

Almost surely, 2248271296 is an apocalyptic number.

248271296 is a gapful number since it is divisible by the number (26) 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 248271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309969408).

248271296 is an abundant number, since it is smaller than the sum of its proper divisors (371667520).

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

248271296 is a wasteful number, since it uses less digits than its factorization.

248271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 248271296 is about 15756.6270502287. The cubic root of 248271296 is about 628.5051448405.

The spelling of 248271296 in words is "two hundred forty-eight million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 91 94 104 112 182 188 208 224 329 364 376 416 448 611 658 728 752 832 907 1222 1316 1456 1504 1814 2444 2632 2912 3008 3628 4277 4888 5264 5824 6349 7256 8554 9776 10528 11791 12698 14512 17108 19552 21056 23582 25396 29024 34216 39104 42629 47164 50792 58048 68432 82537 85258 94328 101584 136864 165074 170516 188656 203168 273728 298403 330148 341032 377312 406336 554177 596806 660296 682064 754624 1108354 1193612 1320592 1364128 2216708 2387224 2641184 2728256 3879239 4433416 4774448 5282368 7758478 8866832 9548896 15516956 17733664 19097792 31033912 35467328 62067824 124135648 248271296