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2531293184 = 2117317557
BaseRepresentation
bin1001011011100000…
…0111100000000000
320112102002000110102
42112320013200000
520141002340214
61055102221532
7116504431340
oct22670074000
96472060412
102531293184
111089938042
125a78848a8
13314567c24
141a0278d20
15ec35cbde
hex96e07800

2531293184 has 96 divisors (see below), whose sum is σ = 5813065440. Its totient is φ = 1079476224.

The previous prime is 2531293151. The next prime is 2531293187. The reversal of 2531293184 is 4813921352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531293187) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4544234 + ... + 4544790.

It is an arithmetic number, because the mean of its divisors is an integer number (60552765).

Almost surely, 22531293184 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 2531293184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906532720).

2531293184 is an abundant number, since it is smaller than the sum of its proper divisors (3281772256).

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

2531293184 is an equidigital number, since it uses as much as digits as its factorization.

2531293184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 883 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 2531293184 is about 50311.9586579573. The cubic root of 2531293184 is about 1362.8481947564.

The spelling of 2531293184 in words is "two billion, five hundred thirty-one million, two hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 512 557 634 896 1024 1114 1268 1792 2048 2219 2228 2536 3584 3899 4438 4456 5072 7168 7798 8876 8912 10144 14336 15596 17752 17824 20288 31192 35504 35648 40576 62384 71008 71296 81152 124768 142016 142592 162304 176569 249536 284032 285184 324608 353138 499072 568064 570368 649216 706276 998144 1136128 1140736 1235983 1412552 1996288 2272256 2471966 2825104 3992576 4544512 4943932 5650208 7985152 9887864 11300416 19775728 22600832 39551456 45201664 79102912 90403328 158205824 180806656 316411648 361613312 632823296 1265646592 2531293184