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2424040032 = 25343587219
BaseRepresentation
bin1001000001111011…
…1110101001100000
320020221020222210110
42100132332221200
514431023240112
61040311331320
7114033000051
oct22036765140
96227228713
102424040032
111034342177
12577980b40
132c8284c1b
1418dd1a728
15e2c2413c
hex907bea60

2424040032 has 48 divisors (see below), whose sum is σ = 6511095360. Its totient is φ = 789220992.

The previous prime is 2424039977. The next prime is 2424040067. The reversal of 2424040032 is 2300404242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24240400322 = 11751940153477122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2424039990 and 2424040008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289482 + ... + 297737.

It is an arithmetic number, because the mean of its divisors is an integer number (135647820).

Almost surely, 22424040032 is an apocalyptic number.

It is an amenable number.

2424040032 is an abundant number, since it is smaller than the sum of its proper divisors (4087055328).

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

2424040032 is a wasteful number, since it uses less digits than its factorization.

2424040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587275 (or 587267 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2424040032 is about 49234.5410458958. The cubic root of 2424040032 is about 1343.3213871458.

Adding to 2424040032 its reverse (2300404242), we get a palindrome (4724444274).

The spelling of 2424040032 in words is "two billion, four hundred twenty-four million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 587219 1174438 1761657 2348876 3523314 4697752 7046628 9395504 14093256 18791008 25250417 28186512 50500834 56373024 75751251 101001668 151502502 202003336 303005004 404006672 606010008 808013344 1212020016 2424040032