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514444416 = 2737118869
BaseRepresentation
bin11110101010011…
…100110010000000
31022212000111001220
4132222130302000
52023144210131
6123014155040
715514463643
oct3652346200
91285014056
10514444416
11244432782
12124352a80
13827718a5
144c475a5a
153026ce96
hex1ea9cc80

514444416 has 64 divisors (see below), whose sum is σ = 1385812800. Its totient is φ = 169057280.

The previous prime is 514444379. The next prime is 514444457. The reversal of 514444416 is 614444415.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17830 + ... + 36698.

It is an arithmetic number, because the mean of its divisors is an integer number (21653325).

Almost surely, 2514444416 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 514444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692906400).

514444416 is an abundant number, since it is smaller than the sum of its proper divisors (871368384).

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

514444416 is a wasteful number, since it uses less digits than its factorization.

514444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18957 (or 18945 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 514444416 is about 22681.3671545610. The cubic root of 514444416 is about 801.2711126046.

Subtracting 514444416 from its reverse (614444415), we obtain a palindrome (99999999).

The spelling of 514444416 in words is "five hundred fourteen million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 18869 27264 37738 56607 75476 113214 150952 226428 301904 452856 603808 905712 1207616 1339699 1811424 2415232 2679398 3622848 4019097 5358796 7245696 8038194 10717592 16076388 21435184 32152776 42870368 64305552 85740736 128611104 171481472 257222208 514444416