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2428442352 = 243272344167
BaseRepresentation
bin1001000010111111…
…0001011011110000
320021020112122122100
42100233301123300
514433140123402
61040545540400
7114115263600
oct22057613360
96236478570
102428442352
111036879756
12579344700
132c916694b
14190744c00
15e32e371c
hex90bf16f0

2428442352 has 90 divisors (see below), whose sum is σ = 7905883128. Its totient is φ = 693838656.

The previous prime is 2428442293. The next prime is 2428442363. The reversal of 2428442352 is 2532448242.

2428442352 is a `hidden beast` number, since 24 + 284 + 4 + 2 + 352 = 666.

2428442352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165028 + ... + 179139.

Almost surely, 22428442352 is an apocalyptic number.

It is an amenable number.

2428442352 is an abundant number, since it is smaller than the sum of its proper divisors (5477440776).

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

2428442352 is a wasteful number, since it uses less digits than its factorization.

2428442352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344195 (or 344179 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 2428442352 is about 49279.2284030503. The cubic root of 2428442352 is about 1344.1341012026.

The spelling of 2428442352 in words is "two billion, four hundred twenty-eight million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 344167 688334 1032501 1376668 2065002 2409169 2753336 3097503 4130004 4818338 5506672 6195006 7227507 8260008 9636676 12390012 14455014 16520016 16864183 19273352 21682521 24780024 28910028 33728366 38546704 43365042 49560048 50592549 57820056 67456732 86730084 101185098 115640112 134913464 151777647 173460168 202370196 269826928 303555294 346920336 404740392 607110588 809480784 1214221176 2428442352