Search a number
-
+
248084368 = 24719731597
BaseRepresentation
bin11101100100101…
…11011110010000
3122021210222202221
432302113132100
51002002144433
640341150424
76101453020
oct1662273620
9567728687
10248084368
11118045504
126b0bb414
133c5217ac
1424d3ba80
1516ba672d
hexec97790

248084368 has 80 divisors (see below), whose sum is σ = 586529920. Its totient is φ = 99283968.

The previous prime is 248084363. The next prime is 248084401. The reversal of 248084368 is 863480842.

It is not an unprimeable number, because it can be changed into a prime (248084363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154546 + ... + 156142.

It is an arithmetic number, because the mean of its divisors is an integer number (7331624).

Almost surely, 2248084368 is an apocalyptic number.

248084368 is a gapful number since it is divisible by the number (28) 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 248084368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293264960).

248084368 is an abundant number, since it is smaller than the sum of its proper divisors (338445552).

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

248084368 is a wasteful number, since it uses less digits than its factorization.

248084368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 248084368 is about 15750.6942069231. The cubic root of 248084368 is about 628.3473675628.

The spelling of 248084368 in words is "two hundred forty-eight million, eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 73 76 112 133 146 152 266 292 304 511 532 584 1022 1064 1168 1387 1597 2044 2128 2774 3194 4088 5548 6388 8176 9709 11096 11179 12776 19418 22192 22358 25552 30343 38836 44716 60686 77672 89432 116581 121372 155344 178864 212401 233162 242744 424802 466324 485488 816067 849604 932648 1632134 1699208 1865296 2215039 3264268 3398416 4430078 6528536 8860156 13057072 15505273 17720312 31010546 35440624 62021092 124042184 248084368