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2544852992 = 2131131911
BaseRepresentation
bin1001011110101111…
…0110000000000000
320120100120221000112
42113223312000000
520202440243432
61100305010452
7120030615323
oct22753660000
96510527015
102544852992
1110965597a0
125b0323a28
13317304b96
141a1da87ba
15ed63a7b2
hex97af6000

2544852992 has 112 divisors (see below), whose sum is σ = 5737457664. Its totient is φ = 1118208000.

The previous prime is 2544852967. The next prime is 2544853013. The reversal of 2544852992 is 2992584452.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2544852992.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2793017 + ... + 2793927.

Almost surely, 22544852992 is an apocalyptic number.

2544852992 is a gapful number since it is divisible by the number (22) 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 2544852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868728832).

2544852992 is an abundant number, since it is smaller than the sum of its proper divisors (3192604672).

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

2544852992 is an equidigital number, since it uses as much as digits as its factorization.

2544852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 955 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The square root of 2544852992 is about 50446.5359762194. The cubic root of 2544852992 is about 1365.2773957117.

The spelling of 2544852992 in words is "two billion, five hundred forty-four million, eight hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 911 992 1024 1364 1408 1822 1984 2048 2728 2816 3644 3968 4096 5456 5632 7288 7936 8192 10021 10912 11264 14576 15872 20042 21824 22528 28241 29152 31744 40084 43648 45056 56482 58304 63488 80168 87296 90112 112964 116608 126976 160336 174592 225928 233216 253952 310651 320672 349184 451856 466432 621302 641344 698368 903712 932864 1242604 1282688 1396736 1807424 1865728 2485208 2565376 2793472 3614848 3731456 4970416 5130752 7229696 7462912 9940832 10261504 14459392 19881664 20523008 28918784 39763328 41046016 57837568 79526656 82092032 115675136 159053312 231350272 318106624 636213248 1272426496 2544852992