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2452400145 = 345133712589
BaseRepresentation
bin1001001000101100…
…1010100000010001
320022220121211120000
42102023022200101
520010303301040
61043203240213
7114526025436
oct22213124021
96286554500
102452400145
111049352588
12585379069
13301104660
141939bdb8d
15e5477130
hex922ca811

2452400145 has 80 divisors (see below), whose sum is σ = 4862660880. Its totient is φ = 1174611456.

The previous prime is 2452400143. The next prime is 2452400189. The reversal of 2452400145 is 5410042542.

2452400145 is a `hidden beast` number, since 245 + 2 + 400 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 195105024 + 2257295121 = 13968^2 + 47511^2 .

It is not a de Polignac number, because 2452400145 - 21 = 2452400143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2452400143) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 188511 + ... + 201099.

It is an arithmetic number, because the mean of its divisors is an integer number (60783261).

Almost surely, 22452400145 is an apocalyptic number.

It is an amenable number.

2452400145 is a deficient number, since it is larger than the sum of its proper divisors (2410260735).

2452400145 is a wasteful number, since it uses less digits than its factorization.

2452400145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12647 counting only the distinct ones).

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

The square root of 2452400145 is about 49521.7138738150. The cubic root of 2452400145 is about 1348.5398286432.

Adding to 2452400145 its reverse (5410042542), we get a palindrome (7862442687).

The spelling of 2452400145 in words is "two billion, four hundred fifty-two million, four hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 37 39 45 65 81 111 117 135 185 195 333 351 405 481 555 585 999 1053 1443 1665 1755 2405 2997 4329 4995 5265 7215 12589 12987 14985 21645 37767 38961 62945 64935 113301 163657 188835 194805 339903 465793 490971 566505 818285 1019709 1397379 1472913 1699515 2328965 2454855 4192137 4418739 5098545 6055309 6986895 7364565 12576411 13256217 18165927 20960685 22093695 30276545 37729233 54497781 62882055 66281085 90829635 163493343 188646165 272488905 490480029 817466715 2452400145