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2481534225 = 31052412
BaseRepresentation
bin1001001111101001…
…0011010100010001
320101221110000000000
42103322103110101
520040233043400
61050123520213
7115331456442
oct22372232421
96357400000
102481534225
111063841435
12593089069
13307165461
141978052c9
15e7cce600
hex93e93511

2481534225 has 99 divisors (see below), whose sum is σ = 4730949649. Its totient is φ = 1291204800.

The previous prime is 2481534203. The next prime is 2481534227. The reversal of 2481534225 is 5224351842.

The square root of 2481534225 is 49815.

It is a perfect power (a square), and thus also a powerful number.

2481534225 is a `hidden beast` number, since 24 + 81 + 534 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1044517761 + 1437016464 = 32319^2 + 37908^2 .

It is not a de Polignac number, because 2481534225 - 29 = 2481533713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2481534225.

It is not an unprimeable number, because it can be changed into a prime (2481534227) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 60525205 + ... + 60525245.

Almost surely, 22481534225 is an apocalyptic number.

2481534225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2481534225 is the 49815-th square number.

2481534225 is the 24908-th centered octagonal number.

It is an amenable number.

2481534225 is a deficient number, since it is larger than the sum of its proper divisors (2249415424).

2481534225 is an frugal number, since it uses more digits than its factorization.

2481534225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The cubic root of 2481534225 is about 1353.8589587027.

Multiplying 2481534225 by its sum of digits (36), we get a square (89335232100 = 2988902).

The spelling of 2481534225 in words is "two billion, four hundred eighty-one million, five hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 243 369 405 615 675 729 1025 1107 1215 1681 1845 2025 2187 3075 3321 3645 5043 5535 6075 6561 8405 9225 9963 10935 15129 16605 18225 19683 25215 27675 29889 32805 42025 45387 49815 54675 59049 75645 83025 89667 98415 126075 136161 149445 164025 226935 249075 269001 295245 378225 408483 448335 492075 680805 747225 807003 1134675 1225449 1345005 1476225 2042415 2241675 2421009 3404025 3676347 4035015 6127245 6725025 10212075 11029041 12105045 18381735 20175075 30636225 33087123 55145205 60525225 91908675 99261369 165435615 275726025 496306845 827178075 2481534225