Search a number
-
+
512345056 = 2523838387
BaseRepresentation
bin11110100010011…
…100001111100000
31022201001211021211
4132202130033200
52022130020211
6122501155504
715460601236
oct3642341740
91281054254
10512345056
11243229473
121236bbb94
13821b8172
144c08a956
152eea5e21
hex1e89c3e0

512345056 has 48 divisors (see below), whose sum is σ = 1065343104. Its totient is φ = 242053504.

The previous prime is 512345021. The next prime is 512345063. The reversal of 512345056 is 650543215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56895 + ... + 65281.

It is an arithmetic number, because the mean of its divisors is an integer number (22194648).

Almost surely, 2512345056 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 512345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532671552).

512345056 is an abundant number, since it is smaller than the sum of its proper divisors (552998048).

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

512345056 is a wasteful number, since it uses less digits than its factorization.

512345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 512345056 is about 22635.0404461755. The cubic root of 512345056 is about 800.1796763092.

The spelling of 512345056 in words is "five hundred twelve million, three hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 664 736 1328 1909 2656 3818 7636 8387 15272 16774 30544 33548 61088 67096 134192 192901 268384 385802 696121 771604 1392242 1543208 2784484 3086416 5568968 6172832 11137936 16010783 22275872 32021566 64043132 128086264 256172528 512345056