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2428812450 = 2325253101837
BaseRepresentation
bin1001000011000100…
…1011110010100010
320021021020110022200
42100301023302202
514433233444300
61041001514030
7114121364601
oct22061136242
96237213280
102428812450
111037001819
125794a2916
132c926623c
141907dda38
15e3368200
hex90c4bca2

2428812450 has 72 divisors (see below), whose sum is σ = 6648595668. Its totient is φ = 635456640.

The previous prime is 2428812433. The next prime is 2428812493. The reversal of 2428812450 is 542188242.

It can be written as a sum of positive squares in 6 ways, for example, as 1278992169 + 1149820281 = 35763^2 + 33909^2 .

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 27069 + ... + 74768.

Almost surely, 22428812450 is an apocalyptic number.

2428812450 is an abundant number, since it is smaller than the sum of its proper divisors (4219783218).

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

2428812450 is a wasteful number, since it uses less digits than its factorization.

2428812450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101908 (or 101900 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2428812450 is about 49282.9833715452. The cubic root of 2428812450 is about 1344.2023803711.

The spelling of 2428812450 in words is "two billion, four hundred twenty-eight million, eight hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 7950 11925 23850 101837 203674 305511 509185 611022 916533 1018370 1527555 1833066 2545925 3055110 4582665 5091850 5397361 7637775 9165330 10794722 15275550 16192083 22913325 26986805 32384166 45826650 48576249 53973610 80960415 97152498 134934025 161920830 242881245 269868050 404802075 485762490 809604150 1214406225 2428812450