Search a number
-
+
505061616 = 24341271947
BaseRepresentation
bin11110000110101…
…010000011110000
31022012100210021210
4132012222003300
52013243432431
6122041120120
715341644563
oct3606520360
91265323253
10505061616
1123a1042a4
12121189040
1380837c37
144b1124da
152e517d46
hex1e1aa0f0

505061616 has 80 divisors (see below), whose sum is σ = 1342914048. Its totient is φ = 163468800.

The previous prime is 505061587. The next prime is 505061647. The reversal of 505061616 is 616160505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 532855 + ... + 533801.

Almost surely, 2505061616 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 505061616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671457024).

505061616 is an abundant number, since it is smaller than the sum of its proper divisors (837852432).

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

505061616 is a wasteful number, since it uses less digits than its factorization.

505061616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 505061616 is about 22473.5759504357. The cubic root of 505061616 is about 796.3698104042.

It can be divided in two parts, 5050 and 61616, that added together give a palindrome (66666).

The spelling of 505061616 in words is "five hundred five million, sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 947 984 1084 1626 1894 1968 2168 2841 3252 3788 4336 5682 6504 7576 11111 11364 13008 15152 22222 22728 33333 38827 44444 45456 66666 77654 88888 116481 133332 155308 177776 232962 256637 266664 310616 465924 513274 533328 621232 769911 931848 1026548 1539822 1863696 2053096 3079644 4106192 6159288 10522117 12318576 21044234 31566351 42088468 63132702 84176936 126265404 168353872 252530808 505061616