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2488213924 = 22745092
BaseRepresentation
bin1001010001001111…
…0010000110100100
320102102000100211021
42110103302012210
520043440321144
61050523020524
7115442320000
oct22423620644
96372010737
102488213924
111067593a49
1259536a744
13308663941
14198663700
15e869d884
hex944f21a4

2488213924 has 45 divisors (see below), whose sum is σ = 5089800737. Its totient is φ = 1064282352.

The previous prime is 2488213919. The next prime is 2488213939. The reversal of 2488213924 is 4293128842.

It is a happy number.

The square root of 2488213924 is 49882.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2023380324 + 464833600 = 44982^2 + 21560^2 .

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 14 ways as a sum of consecutive naturals, for example, 4888182 + ... + 4888690.

Almost surely, 22488213924 is an apocalyptic number.

2488213924 is the 49882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488213924

2488213924 is an abundant number, since it is smaller than the sum of its proper divisors (2601586813).

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

2488213924 is an frugal number, since it uses more digits than its factorization.

2488213924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 518 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The cubic root of 2488213924 is about 1355.0726256558.

The spelling of 2488213924 in words is "two billion, four hundred eighty-eight million, two hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 509 686 1018 1372 2036 2401 3563 4802 7126 9604 14252 24941 49882 99764 174587 259081 349174 518162 698348 1036324 1222109 1813567 2444218 3627134 4888436 7254268 12694969 25389938 50779876 88864783 177729566 355459132 622053481 1244106962 2488213924