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2456300052 = 223453313457
BaseRepresentation
bin1001001001101000…
…0010101000010100
320100011221222020000
42102122002220110
520012303100202
61043423011300
7114604130433
oct22232025024
96304858200
102456300052
111050576648
12586739b30
13301b6b7ab
1419431711a
15e599791c
hex92682a14

2456300052 has 120 divisors (see below), whose sum is σ = 6577673256. Its totient is φ = 798999552.

The previous prime is 2456300039. The next prime is 2456300059. The reversal of 2456300052 is 2500036542.

2456300052 is a `hidden beast` number, since 24 + 5 + 630 + 0 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302968836 + 2153331216 = 17406^2 + 46404^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2456299989 and 2456300025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456300059) 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 39 ways as a sum of consecutive naturals, for example, 5374608 + ... + 5375064.

Almost surely, 22456300052 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 2456300052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288836628).

2456300052 is an abundant number, since it is smaller than the sum of its proper divisors (4121373204).

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

2456300052 is a wasteful number, since it uses less digits than its factorization.

2456300052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2456300052 is about 49561.0739593080. The cubic root of 2456300052 is about 1349.2542844524.

Adding to 2456300052 its reverse (2500036542), we get a palindrome (4956336594).

The spelling of 2456300052 in words is "two billion, four hundred fifty-six million, three hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 313 318 324 457 477 626 636 914 939 954 1252 1371 1431 1828 1878 1908 2742 2817 2862 3756 4113 4293 5484 5634 5724 8226 8451 8586 11268 12339 16452 16589 16902 17172 24221 24678 25353 33178 33804 37017 48442 49356 49767 50706 66356 72663 74034 96884 99534 101412 143041 145326 148068 149301 199068 217989 286082 290652 298602 429123 435978 447903 572164 597204 653967 858246 871956 895806 1287369 1307934 1343709 1716492 1791612 1961901 2574738 2615868 2687418 3862107 3923802 5149476 5374836 7581173 7724214 7847604 11586321 15162346 15448428 22743519 23172642 30324692 45487038 46345284 68230557 90974076 136461114 204691671 272922228 409383342 614075013 818766684 1228150026 2456300052