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2409042724 = 22112232972
BaseRepresentation
bin1000111110010111…
…0001001100100100
320012220001001100121
42033211301030210
514413203331344
61035014051324
7113461345114
oct21745611444
96186031317
102409042724
111026929500
12572949b44
132c513388a
1418bd35044
15e1760684
hex8f971324

2409042724 has 81 divisors (see below), whose sum is σ = 4894612401. Its totient is φ = 1036611840.

The previous prime is 2409042703. The next prime is 2409042787. The reversal of 2409042724 is 4272409042.

It is a happy number.

The square root of 2409042724 is 49082.

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., 1081752100 + 1327290624 = 32890^2 + 36432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2409042724.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24835444 + ... + 24835540.

Almost surely, 22409042724 is an apocalyptic number.

2409042724 is the 49082-nd square number.

It is an amenable number.

2409042724 is an abundant number, since it is smaller than the sum of its proper divisors (2485569677).

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

2409042724 is a wasteful number, since it uses less digits than its factorization.

2409042724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 2409042724 is about 1340.5453197438.

The spelling of 2409042724 in words is "two billion, four hundred nine million, forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 97 121 194 242 253 388 484 506 529 1012 1058 1067 2116 2134 2231 2783 4268 4462 5566 5819 8924 9409 11132 11638 11737 18818 23276 23474 24541 37636 46948 49082 51313 64009 98164 102626 103499 128018 205252 206998 216407 256036 269951 413996 432814 539902 564443 865628 1079804 1128886 1138489 2257772 2276978 2380477 4553956 4760954 4977361 6208873 9521908 9954722 12417746 19909444 24835492 26185247 52370494 54750971 104740988 109501942 219003884 602260681 1204521362 2409042724