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2452434048 = 27322128849
BaseRepresentation
bin1001001000101101…
…0010110010000000
320022220200120001200
42102023102302000
520010310342143
61043204101200
7114526226331
oct22213226200
96286616050
102452434048
111049375aa9
12585394800
13301116c0c
141939cc288
15e54821d3
hex922d2c80

2452434048 has 48 divisors (see below), whose sum is σ = 7057137750. Its totient is φ = 817477632.

The previous prime is 2452434013. The next prime is 2452434053. The reversal of 2452434048 is 8404342542.

2452434048 is a `hidden beast` number, since 2 + 4 + 5 + 243 + 404 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2380659264 + 71774784 = 48792^2 + 8472^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063273 + ... + 1065576.

Almost surely, 22452434048 is an apocalyptic number.

It is an amenable number.

2452434048 is an abundant number, since it is smaller than the sum of its proper divisors (4604703702).

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

2452434048 is a wasteful number, since it uses less digits than its factorization.

2452434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128869 (or 2128854 counting only the distinct ones).

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

The square root of 2452434048 is about 49522.0561770208. The cubic root of 2452434048 is about 1348.5460428731.

The spelling of 2452434048 in words is "two billion, four hundred fifty-two million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2128849 4257698 6386547 8515396 12773094 17030792 19159641 25546188 34061584 38319282 51092376 68123168 76638564 102184752 136246336 153277128 204369504 272492672 306554256 408739008 613108512 817478016 1226217024 2452434048