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2491044096 = 28319533221
BaseRepresentation
bin1001010001111010…
…0101000100000000
320102121100011002110
42110132211010000
520100201402341
61051103415320
7115505345142
oct22436450400
96377304073
102491044096
111069147332
125962b4540
13309114bb8
14198b9cc92
15e8a5c216
hex947a5100

2491044096 has 144 divisors (see below), whose sum is σ = 7112629440. Its totient is φ = 771563520.

The previous prime is 2491044089. The next prime is 2491044113. The reversal of 2491044096 is 6904401942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771766 + ... + 774986.

It is an arithmetic number, because the mean of its divisors is an integer number (49393260).

Almost surely, 22491044096 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 2491044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556314720).

2491044096 is an abundant number, since it is smaller than the sum of its proper divisors (4621585344).

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

2491044096 is a wasteful number, since it uses less digits than its factorization.

2491044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2491044096 is about 49910.3606077936. The cubic root of 2491044096 is about 1355.5861982542.

It can be divided in two parts, 24910 and 44096, that added together give a triangular number (69006 = T371).

The spelling of 2491044096 in words is "two billion, four hundred ninety-one million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 608 636 768 848 912 1007 1216 1272 1696 1824 2014 2432 2544 3021 3221 3392 3648 4028 4864 5088 6042 6442 6784 7296 8056 9663 10176 12084 12884 13568 14592 16112 19326 20352 24168 25768 32224 38652 40704 48336 51536 61199 64448 77304 96672 103072 122398 128896 154608 170713 183597 193344 206144 244796 257792 309216 341426 367194 386688 412288 489592 512139 618432 682852 734388 773376 824576 979184 1024278 1236864 1365704 1468776 1958368 2048556 2473728 2731408 2937552 3243547 3916736 4097112 5462816 5875104 6487094 7833472 8194224 9730641 10925632 11750208 12974188 15666944 16388448 19461282 21851264 23500416 25948376 32776896 38922564 43702528 47000832 51896752 65553792 77845128 103793504 131107584 155690256 207587008 311380512 415174016 622761024 830348032 1245522048 2491044096