Search a number
-
+
245624676 = 2231121391217
BaseRepresentation
bin11101010001111…
…10111101100100
3122010012000201020
432220332331210
51000334442201
640212331140
76041526633
oct1650767544
9563160636
10245624676
11116715500
126a313ab0
133bb7005b
142489b51a
151686ca36
hexea3ef64

245624676 has 72 divisors (see below), whose sum is σ = 635016480. Its totient is φ = 73835520.

The previous prime is 245624657. The next prime is 245624677. The reversal of 245624676 is 676426542.

It is not an unprimeable number, because it can be changed into a prime (245624677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201220 + ... + 202436.

Almost surely, 2245624676 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 245624676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317508240).

245624676 is an abundant number, since it is smaller than the sum of its proper divisors (389391804).

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

245624676 is a wasteful number, since it uses less digits than its factorization.

245624676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1372 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 245624676 is about 15672.4176820298. The cubic root of 245624676 is about 626.2638328266.

The spelling of 245624676 in words is "two hundred forty-five million, six hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 139 242 278 363 417 484 556 726 834 1217 1452 1529 1668 2434 3058 3651 4587 4868 6116 7302 9174 13387 14604 16819 18348 26774 33638 40161 50457 53548 67276 80322 100914 147257 160644 169163 201828 294514 338326 441771 507489 589028 676652 883542 1014978 1767084 1860793 2029956 3721586 5582379 7443172 11164758 20468723 22329516 40937446 61406169 81874892 122812338 245624676