Search a number
-
+
5087797248 = 2133239001
BaseRepresentation
bin1001011110100000…
…11010000000000000
3111010120120212202010
410233100122000000
540404434002443
62200505052520
7240036364062
oct45720320000
914116525663
105087797248
112180a24416
12b9ba87140
136310bc021
143639d7732
151eb9ea733
hex12f41a000

5087797248 has 112 divisors (see below), whose sum is σ = 14158057536. Its totient is φ = 1622016000.

The previous prime is 5087797241. The next prime is 5087797261. The reversal of 5087797248 is 8427977805.

It is a super-3 number, since 3×50877972483 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5087797241) 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, 560748 + ... + 569748.

It is an arithmetic number, because the mean of its divisors is an integer number (126411228).

Almost surely, 25087797248 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 5087797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079028768).

5087797248 is an abundant number, since it is smaller than the sum of its proper divisors (9070260288).

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

5087797248 is an equidigital number, since it uses as much as digits as its factorization.

5087797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The square root of 5087797248 is about 71328.7967654018. The cubic root of 5087797248 is about 1719.9266743574.

The spelling of 5087797248 in words is "five billion, eighty-seven million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8192 8832 9001 11776 12288 17664 18002 23552 24576 27003 35328 36004 47104 54006 70656 72008 94208 108012 141312 144016 188416 207023 216024 282624 288032 414046 432048 565248 576064 621069 828092 864096 1152128 1242138 1656184 1728192 2304256 2484276 3312368 3456384 4608512 4968552 6624736 6912768 9217024 9937104 13249472 13825536 18434048 19874208 26498944 27651072 36868096 39748416 52997888 55302144 73736192 79496832 105995776 110604288 158993664 211991552 221208576 317987328 423983104 635974656 847966208 1271949312 1695932416 2543898624 5087797248