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505876 = 22722989
BaseRepresentation
bin1111011100000010100
3221200221011
41323200110
5112142001
614502004
74204600
oct1734024
9850834
10505876
11316088
12204904
13149347
14d2500
159ed51
hex7b814

505876 has 36 divisors (see below), whose sum is σ = 1077300. Its totient is φ = 206976.

The previous prime is 505871. The next prime is 505877. The reversal of 505876 is 678505.

505876 = 292 + 302 + ... + 1152.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 329476 = 420^2 + 574^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5640 + ... + 5728.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2505876 is an apocalyptic number.

505876 is the 356-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538650).

505876 is an abundant number, since it is smaller than the sum of its proper divisors (571424).

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

505876 is a wasteful number, since it uses less digits than its factorization.

505876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 505876 is about 711.2496045693. The cubic root of 505876 is about 79.6797614682.

The spelling of 505876 in words is "five hundred five thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 58 89 98 116 178 196 203 356 406 623 812 1246 1421 2492 2581 2842 4361 5162 5684 8722 10324 17444 18067 36134 72268 126469 252938 505876