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2089521024 = 27331257683
BaseRepresentation
bin111110010001011…
…1000111110000000
312101121210122222120
41330202320332000
513234404133044
6543201404240
7102531431013
oct17442707600
95347718876
102089521024
11982531088
124a3939680
13273b8c296
1415b71d37a
15c3697519
hex7c8b8f80

2089521024 has 128 divisors (see below), whose sum is σ = 5760046080. Its totient is φ = 670433280.

The previous prime is 2089521013. The next prime is 2089521053. The reversal of 2089521024 is 4201259802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3058987 + ... + 3059669.

It is an arithmetic number, because the mean of its divisors is an integer number (45000360).

Almost surely, 22089521024 is an apocalyptic number.

2089521024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089521024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880023040).

2089521024 is an abundant number, since it is smaller than the sum of its proper divisors (3670525056).

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

2089521024 is a wasteful number, since it uses less digits than its factorization.

2089521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2089521024 is about 45711.2789582615. The cubic root of 2089521024 is about 1278.4455870665.

The spelling of 2089521024 in words is "two billion, eighty-nine million, five hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 257 372 384 496 514 683 744 771 992 1028 1366 1488 1542 1984 2049 2056 2732 2976 3084 3968 4098 4112 5464 5952 6168 7967 8196 8224 10928 11904 12336 15934 16392 16448 21173 21856 23901 24672 31868 32784 32896 42346 43712 47802 49344 63519 63736 65568 84692 87424 95604 98688 127038 127472 131136 169384 175531 191208 254076 254944 262272 338768 351062 382416 508152 509888 526593 677536 702124 764832 1016304 1019776 1053186 1355072 1404248 1529664 2032608 2106372 2710144 2808496 3059328 4065216 4212744 5441461 5616992 8130432 8425488 10882922 11233984 16324383 16850976 21765844 22467968 32648766 33701952 43531688 65297532 67403904 87063376 130595064 174126752 261190128 348253504 522380256 696507008 1044760512 2089521024