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505050606 = 233231512693
BaseRepresentation
bin11110000110100…
…111010111101110
31022012100020012000
4132012213113232
52013243104411
6122040553130
715341600514
oct3606472756
91265306160
10505050606
1123a0a6aa5
121211827a6
1380832c18
144b10c4b4
152e514956
hex1e1a75ee

505050606 has 64 divisors (see below), whose sum is σ = 1179325440. Its totient is φ = 159904800.

The previous prime is 505050563. The next prime is 505050607. The reversal of 505050606 is 606050505.

505050606 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 50 + 606 = 666.

It is a super-2 number, since 2×5050506062 = 510152229241934472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 505050606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505050607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186196 + ... + 188888.

It is an arithmetic number, because the mean of its divisors is an integer number (18426960).

Almost surely, 2505050606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505050606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589662720).

505050606 is an abundant number, since it is smaller than the sum of its proper divisors (674274834).

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

505050606 is a wasteful number, since it uses less digits than its factorization.

505050606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505050606 is about 22473.3309947591. The cubic root of 505050606 is about 796.3640235886.

The spelling of 505050606 in words is "five hundred five million, fifty thousand, six hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 151 207 302 414 453 621 906 1242 1359 2693 2718 3473 4077 5386 6946 8079 8154 10419 16158 20838 24237 31257 48474 61939 62514 72711 93771 123878 145422 185817 187542 371634 406643 557451 813286 1114902 1219929 1672353 2439858 3344706 3659787 7319574 9352789 10979361 18705578 21958722 28058367 56116734 84175101 168350202 252525303 505050606