Search a number
-
+
5182586528 = 257219732383
BaseRepresentation
bin1001101001110011…
…11111111010100000
3111101011221200012012
410310321333322200
541103220232103
62214132452052
7242300154500
oct46471777240
914334850165
105182586528
11221a486a69
12100777a028
13647929b62
1437242da00
15204ec12d8
hex134e7fea0

5182586528 has 144 divisors (see below), whose sum is σ = 12670197120. Its totient is φ = 2074512384.

The previous prime is 5182586477. The next prime is 5182586531. The reversal of 5182586528 is 8256852815.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2173625 + ... + 2176007.

It is an arithmetic number, because the mean of its divisors is an integer number (87987480).

Almost surely, 25182586528 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 5182586528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335098560).

5182586528 is an abundant number, since it is smaller than the sum of its proper divisors (7487610592).

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

5182586528 is a wasteful number, since it uses less digits than its factorization.

5182586528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2484 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 50.

The square root of 5182586528 is about 71990.1835530373. The cubic root of 5182586528 is about 1730.5421722784.

The spelling of 5182586528 in words is "five billion, one hundred eighty-two million, five hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 73 76 98 112 133 146 152 196 224 266 292 304 392 511 532 584 608 784 931 1022 1064 1168 1387 1568 1862 2044 2128 2336 2383 2774 3577 3724 4088 4256 4766 5548 7154 7448 8176 9532 9709 11096 14308 14896 16352 16681 19064 19418 22192 28616 29792 33362 38128 38836 44384 45277 57232 66724 67963 76256 77672 90554 114464 116767 133448 135926 155344 173959 181108 233534 266896 271852 310688 316939 347918 362216 467068 533792 543704 633878 695836 724432 934136 1087408 1217713 1267756 1391672 1448864 1868272 2174816 2218573 2435426 2535512 2783344 3305221 3736544 4437146 4870852 5071024 5566688 6610442 8523991 8874292 9741704 10142048 13220884 17047982 17748584 19483408 23136547 26441768 34095964 35497168 38966816 46273094 52883536 68191928 70994336 92546188 105767072 136383856 161955829 185092376 272767712 323911658 370184752 647823316 740369504 1295646632 2591293264 5182586528