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2423002432 = 26292415417
BaseRepresentation
bin1001000001101100…
…0001010101000000
320020212022021110211
42100123001111000
514430242034212
61040233203504
7114021116014
oct22033012500
96225267424
102423002432
1110337a3654
12577560594
132c7cb0866
1418db2a544
15e2abb9a7
hex906c1540

2423002432 has 56 divisors (see below), whose sum is σ = 4995504360. Its totient is φ = 1164656640.

The previous prime is 2423002409. The next prime is 2423002433. The reversal of 2423002432 is 2342003242.

It can be written as a sum of positive squares in 4 ways, for example, as 196672576 + 2226329856 = 14024^2 + 47184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423002433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444588 + ... + 450004.

It is an arithmetic number, because the mean of its divisors is an integer number (89205435).

Almost surely, 22423002432 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 2423002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497752180).

2423002432 is an abundant number, since it is smaller than the sum of its proper divisors (2572501928).

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

2423002432 is a wasteful number, since it uses less digits than its factorization.

2423002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2423002432 is about 49224.0026003575. The cubic root of 2423002432 is about 1343.1296921278.

Adding to 2423002432 its reverse (2342003242), we get a palindrome (4765005674).

The spelling of 2423002432 in words is "two billion, four hundred twenty-three million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 241 464 482 928 964 1856 1928 3856 5417 6989 7712 10834 13978 15424 21668 27956 43336 55912 86672 111824 157093 173344 223648 314186 346688 447296 628372 1256744 1305497 2513488 2610994 5026976 5221988 10053952 10443976 20887952 37859413 41775904 75718826 83551808 151437652 302875304 605750608 1211501216 2423002432