Search a number
-
+
516291616 = 25472831213
BaseRepresentation
bin11110110001011…
…111110000100000
31022222111022221201
4132301133300200
52024132312431
6123121530544
715536256241
oct3661376040
91288438851
10516291616
11245484595
12124aa3a54
1382c6a5c9
144c7d6cc8
15304d5461
hex1ec5fc20

516291616 has 48 divisors (see below), whose sum is σ = 1042602624. Its totient is φ = 251553024.

The previous prime is 516291593. The next prime is 516291631. The reversal of 516291616 is 616192615.

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, 425026 + ... + 426238.

It is an arithmetic number, because the mean of its divisors is an integer number (21720888).

Almost surely, 2516291616 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 516291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521301312).

516291616 is an abundant number, since it is smaller than the sum of its proper divisors (526311008).

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

516291616 is a wasteful number, since it uses less digits than its factorization.

516291616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 516291616 is about 22722.0513158473. The cubic root of 516291616 is about 802.2290003454.

Subtracting 516291616 from its reverse (616192615), we obtain a palindrome (99900999).

The spelling of 516291616 in words is "five hundred sixteen million, two hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 47 94 188 283 376 566 752 1132 1213 1504 2264 2426 4528 4852 9056 9704 13301 19408 26602 38816 53204 57011 106408 114022 212816 228044 343279 425632 456088 686558 912176 1373116 1824352 2746232 5492464 10984928 16134113 32268226 64536452 129072904 258145808 516291616