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514044104 = 23727331789
BaseRepresentation
bin11110101000111…
…011000011001000
31022211021010221112
4132220323003020
52023043402404
6123001425452
715511205600
oct3650730310
91284233845
10514044104
11244189a42
1212419b288
1382661612
144c3adc00
15301de56e
hex1ea3b0c8

514044104 has 48 divisors (see below), whose sum is σ = 1123350300. Its totient is φ = 219881088.

The previous prime is 514044067. The next prime is 514044121. The reversal of 514044104 is 401440415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 353515204 + 160528900 = 18802^2 + 12670^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 514044104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286442 + ... + 288230.

Almost surely, 2514044104 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 514044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561675150).

514044104 is an abundant number, since it is smaller than the sum of its proper divisors (609306196).

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

514044104 is a wasteful number, since it uses less digits than its factorization.

514044104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 514044104 is about 22672.5407486678. The cubic root of 514044104 is about 801.0632238179.

Adding to 514044104 its reverse (401440415), we get a palindrome (915484519).

The spelling of 514044104 in words is "five hundred fourteen million, forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 733 1466 1789 2932 3578 5131 5864 7156 10262 12523 14312 20524 25046 35917 41048 50092 71834 87661 100184 143668 175322 287336 350644 701288 1311337 2622674 5245348 9179359 10490696 18358718 36717436 64255513 73434872 128511026 257022052 514044104