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2091582752 = 25771347379
BaseRepresentation
bin111110010101011…
…0000010100100000
312101202200102010212
41330222300110200
513240421122002
6543313513252
7102555105620
oct17452602440
95352612125
102091582752
1198370a096
124a4572828
1327443183c
1415bad8880
15c3953352
hex7cab0520

2091582752 has 96 divisors (see below), whose sum is σ = 4798725120. Its totient is φ = 878895360.

The previous prime is 2091582739. The next prime is 2091582761. The reversal of 2091582752 is 2572851902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518499 + ... + 5518877.

It is an arithmetic number, because the mean of its divisors is an integer number (49986720).

Almost surely, 22091582752 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 2091582752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399362560).

2091582752 is an abundant number, since it is smaller than the sum of its proper divisors (2707142368).

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

2091582752 is a wasteful number, since it uses less digits than its factorization.

2091582752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 2091582752 is about 45733.8250313704. The cubic root of 2091582752 is about 1278.8659291118.

The spelling of 2091582752 in words is "two billion, ninety-one million, five hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 347 379 497 568 694 758 994 1136 1388 1516 1988 2272 2429 2653 2776 3032 3976 4858 5306 5552 6064 7952 9716 10612 11104 12128 15904 19432 21224 24637 26909 38864 42448 49274 53818 77728 84896 98548 107636 131513 172459 188363 197096 215272 263026 344918 376726 394192 430544 526052 689836 753452 788384 861088 920591 1052104 1379672 1506904 1841182 2104208 2759344 3013808 3682364 4208416 5518688 6027616 7364728 9337423 14729456 18674846 29458912 37349692 65361961 74699384 130723922 149398768 261447844 298797536 522895688 1045791376 2091582752