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2399797248 = 217317359
BaseRepresentation
bin1000111100001010…
…0000000000000000
320012020122022221120
42033002200000000
514403322002443
61034043552240
7113316640302
oct21702400000
96166568846
102399797248
111021694212
1256b82b680
132c3247594
1418aa09972
15e0a36083
hex8f0a0000

2399797248 has 144 divisors (see below), whose sum is σ = 6794746560. Its totient is φ = 750780416.

The previous prime is 2399797237. The next prime is 2399797249. The reversal of 2399797248 is 8427979932.

It is a junction number, because it is equal to n+sod(n) for n = 2399797191 and 2399797200.

It is not an unprimeable number, because it can be changed into a prime (2399797249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6684493 + ... + 6684851.

It is an arithmetic number, because the mean of its divisors is an integer number (47185740).

Almost surely, 22399797248 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 2399797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397373280).

2399797248 is an abundant number, since it is smaller than the sum of its proper divisors (4394949312).

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

2399797248 is an frugal number, since it uses more digits than its factorization.

2399797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 381 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The square root of 2399797248 is about 48987.7254830228. The cubic root of 2399797248 is about 1338.8281966388.

The spelling of 2399797248 in words is "two billion, three hundred ninety-nine million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 359 384 408 512 544 718 768 816 1024 1077 1088 1436 1536 1632 2048 2154 2176 2872 3072 3264 4096 4308 4352 5744 6103 6144 6528 8192 8616 8704 11488 12206 12288 13056 16384 17232 17408 18309 22976 24412 24576 26112 32768 34464 34816 36618 45952 48824 49152 52224 65536 68928 69632 73236 91904 97648 98304 104448 131072 137856 139264 146472 183808 195296 196608 208896 275712 278528 292944 367616 390592 393216 417792 551424 557056 585888 735232 781184 835584 1102848 1114112 1171776 1470464 1562368 1671168 2205696 2228224 2343552 2940928 3124736 3342336 4411392 4687104 5881856 6249472 6684672 8822784 9374208 11763712 12498944 17645568 18748416 23527424 24997888 35291136 37496832 47054848 49995776 70582272 74993664 99991552 141164544 149987328 199983104 299974656 399966208 599949312 799932416 1199898624 2399797248