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505501104 = 24337379751
BaseRepresentation
bin11110001000010…
…101010110110000
31022020012010011010
4132020111112300
52013402013404
6122054350520
715345455103
oct3610252660
91266163133
10505501104
1123a384509
1212135b440
138095cca4
144b1c873a
152e5a3189
hex1e2155b0

505501104 has 80 divisors (see below), whose sum is σ = 1346501120. Its totient is φ = 163296000.

The previous prime is 505501081. The next prime is 505501111. The reversal of 505501104 is 401105505.

It is a super-2 number, since 2×5055011042 = 511062732290437632, which contains 22 as substring.

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, 672729 + ... + 673479.

It is an arithmetic number, because the mean of its divisors is an integer number (16831264).

Almost surely, 2505501104 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 505501104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673250560).

505501104 is an abundant number, since it is smaller than the sum of its proper divisors (841000016).

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

505501104 is a wasteful number, since it uses less digits than its factorization.

505501104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 505501104 is about 22483.3517074301. The cubic root of 505501104 is about 796.6007350380.

Adding to 505501104 its reverse (401105505), we get a palindrome (906606609).

The spelling of 505501104 in words is "five hundred five million, five hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 379 444 592 751 758 888 1137 1502 1516 1776 2253 2274 3004 3032 4506 4548 6008 6064 9012 9096 12016 14023 18024 18192 27787 28046 36048 42069 55574 56092 83361 84138 111148 112184 166722 168276 222296 224368 284629 333444 336552 444592 569258 666888 673104 853887 1138516 1333776 1707774 2277032 3415548 4554064 6831096 10531273 13662192 21062546 31593819 42125092 63187638 84250184 126375276 168500368 252750552 505501104