Search a number
-
+
2449490688 = 28328312809
BaseRepresentation
bin1001001000000000…
…0100001100000000
320022201011000112100
42102000010030000
520004032200223
61043021030400
7114462220161
oct22200041400
96281130470
102449490688
111047745677
125843b5400
13300626298
14193463768
15e50a0043
hex92004300

2449490688 has 108 divisors (see below), whose sum is σ = 7148133720. Its totient is φ = 806596608.

The previous prime is 2449490647. The next prime is 2449490707. The reversal of 2449490688 is 8860949442.

2449490688 is a `hidden beast` number, since 2 + 4 + 494 + 90 + 68 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184828 + ... + 197636.

Almost surely, 22449490688 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 2449490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574066860).

2449490688 is an abundant number, since it is smaller than the sum of its proper divisors (4698643032).

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

2449490688 is a wasteful number, since it uses less digits than its factorization.

2449490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2449490688 is about 49492.3295875230. The cubic root of 2449490688 is about 1348.0063279882.

The spelling of 2449490688 in words is "two billion, four hundred forty-nine million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 2304 2656 2988 3984 5312 5976 7968 10624 11952 12809 15936 21248 23904 25618 31872 38427 47808 51236 63744 76854 95616 102472 115281 153708 191232 204944 230562 307416 409888 461124 614832 819776 922248 1063147 1229664 1639552 1844496 2126294 2459328 3189441 3279104 3688992 4252588 4918656 6378882 7377984 8505176 9568323 9837312 12757764 14755968 17010352 19136646 25515528 29511936 34020704 38273292 51031056 68041408 76546584 102062112 136082816 153093168 204124224 272165632 306186336 408248448 612372672 816496896 1224745344 2449490688