Search a number
-
+
2992522752 = 2933316983
BaseRepresentation
bin1011001001011110…
…0100011000000000
321201112221220111000
42302113210120000
522112041212002
61212540052000
7134105011062
oct26227443000
97645856430
102992522752
1112a62236aa
126b6234000
13388c9702b
1420561b732
15127ab861c
hexb25e4600

2992522752 has 160 divisors (see below), whose sum is σ = 9145128960. Its totient is φ = 965191680.

The previous prime is 2992522751. The next prime is 2992522763. The reversal of 2992522752 is 2572252992.

It is a junction number, because it is equal to n+sod(n) for n = 2992522698 and 2992522707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992522751) 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, 425053 + ... + 432035.

It is an arithmetic number, because the mean of its divisors is an integer number (57157056).

Almost surely, 22992522752 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 2992522752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572564480).

2992522752 is an abundant number, since it is smaller than the sum of its proper divisors (6152606208).

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

2992522752 is an equidigital number, since it uses as much as digits as its factorization.

2992522752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7019 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2992522752 is about 54703.9555425382. The cubic root of 2992522752 is about 1441.0503447969.

The spelling of 2992522752 in words is "two billion, nine hundred ninety-two million, five hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 6983 7936 8928 11904 13392 13824 13966 15872 17856 20949 23808 26784 27932 35712 41898 47616 53568 55864 62847 71424 83796 107136 111728 125694 142848 167592 188541 214272 216473 223456 251388 335184 377082 428544 432946 446912 502776 649419 670368 754164 865892 893824 1005552 1298838 1340736 1508328 1731784 1787648 1948257 2011104 2597676 2681472 3016656 3463568 3575296 3896514 4022208 5195352 5362944 5844771 6033312 6927136 7793028 8044416 10390704 10725888 11689542 12066624 13854272 15586056 16088832 20781408 23379084 24133248 27708544 31172112 32177664 41562816 46758168 48266496 55417088 62344224 83125632 93516336 96532992 110834176 124688448 166251264 187032672 249376896 332502528 374065344 498753792 748130688 997507584 1496261376 2992522752