Search a number
-
+
2543120352 = 25328830279
BaseRepresentation
bin1001011110010100…
…1110111111100000
320120020022220021200
42113211032333200
520202014322402
61100203521200
7120010111023
oct22745167740
96506286250
102543120352
111095585a63
125ab829200
13316b49356
141a1a771ba
15ed3e721c
hex9794efe0

2543120352 has 36 divisors (see below), whose sum is σ = 7231999320. Its totient is φ = 847706688.

The previous prime is 2543120329. The next prime is 2543120401. The reversal of 2543120352 is 2530213452.

It is a happy number.

2543120352 is a `hidden beast` number, since 25 + 431 + 203 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×25431203522 = 12934922249513207808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4414852 + ... + 4415427.

It is an arithmetic number, because the mean of its divisors is an integer number (200888870).

Almost surely, 22543120352 is an apocalyptic number.

It is an amenable number.

2543120352 is an abundant number, since it is smaller than the sum of its proper divisors (4688878968).

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

2543120352 is a wasteful number, since it uses less digits than its factorization.

2543120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830295 (or 8830284 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2543120352 is about 50429.3600197345. The cubic root of 2543120352 is about 1364.9674798033.

The spelling of 2543120352 in words is "two billion, five hundred forty-three million, one hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8830279 17660558 26490837 35321116 52981674 70642232 79472511 105963348 141284464 158945022 211926696 282568928 317890044 423853392 635780088 847706784 1271560176 2543120352