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245513106 = 2351812791
BaseRepresentation
bin11101010001000…
…11101110010010
3122002222100200000
432220203232102
51000322404411
640210110430
76040553436
oct1650435622
9562870600
10245513106
111166496a3
126a27b416
133bb31337
142486c9c6
1516849956
hexea23b92

245513106 has 48 divisors (see below), whose sum is σ = 554893248. Its totient is φ = 81356400.

The previous prime is 245513083. The next prime is 245513113. The reversal of 245513106 is 601315542.

245513106 is a `hidden beast` number, since 2 + 4 + 551 + 3 + 106 = 666.

245513106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245513106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86571 + ... + 89361.

It is an arithmetic number, because the mean of its divisors is an integer number (11560276).

Almost surely, 2245513106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245513106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277446624).

245513106 is an abundant number, since it is smaller than the sum of its proper divisors (309380142).

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

245513106 is a wasteful number, since it uses less digits than its factorization.

245513106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 245513106 is about 15668.8578396768. The cubic root of 245513106 is about 626.1689959411.

Adding to 245513106 its reverse (601315542), we get a palindrome (846828648).

The spelling of 245513106 in words is "two hundred forty-five million, five hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 362 486 543 1086 1629 2791 3258 4887 5582 8373 9774 14661 16746 25119 29322 43983 50238 75357 87966 150714 226071 452142 505171 678213 1010342 1356426 1515513 3031026 4546539 9093078 13639617 27279234 40918851 81837702 122756553 245513106