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2452240512 = 273214592
BaseRepresentation
bin1001001000101010…
…0011100010000000
320022220022201120200
42102022203202000
520010233144022
61043200005200
7114524462151
oct22212434200
96286281520
102452240512
111049253657
12585300800
13301079ab7
1419397b928
15e5444bac
hex922a3880

2452240512 has 72 divisors (see below), whose sum is σ = 7061417415. Its totient is φ = 816853248.

The previous prime is 2452240487. The next prime is 2452240543. The reversal of 2452240512 is 2150422542.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2452240512 is a `hidden beast` number, since 245 + 2 + 2 + 405 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1226120256 + 1226120256 = 35016^2 + 35016^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1680039 + ... + 1681497.

Almost surely, 22452240512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452240512

2452240512 is an abundant number, since it is smaller than the sum of its proper divisors (4609176903).

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

2452240512 is an frugal number, since it uses more digits than its factorization.

2452240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2452240512 is about 49520.1021000563. The cubic root of 2452240512 is about 1348.5105680391.

The spelling of 2452240512 in words is "two billion, four hundred fifty-two million, two hundred forty thousand, five hundred twelve".

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 1459 2918 4377 5836 8754 11672 13131 17508 23344 26262 35016 46688 52524 70032 93376 105048 140064 186752 210096 280128 420192 560256 840384 1680768 2128681 4257362 6386043 8514724 12772086 17029448 19158129 25544172 34058896 38316258 51088344 68117792 76632516 102176688 136235584 153265032 204353376 272471168 306530064 408706752 613060128 817413504 1226120256 2452240512