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505505016 = 23333137477
BaseRepresentation
bin11110001000010…
…110010011111000
31022020012022112000
4132020112103320
52013402130031
6122054421000
715345502362
oct3610262370
91266168460
10505505016
1123a387445
12121361760
13809619c3
144b1c9d32
152e5a43e6
hex1e2164f8

505505016 has 64 divisors (see below), whose sum is σ = 1408855200. Its totient is φ = 167940864.

The previous prime is 505505009. The next prime is 505505041. The reversal of 505505016 is 610505505.

505505016 is a `hidden beast` number, since 50 + 550 + 50 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63870 + ... + 71346.

Almost surely, 2505505016 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 505505016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704427600).

505505016 is an abundant number, since it is smaller than the sum of its proper divisors (903350184).

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

505505016 is a wasteful number, since it uses less digits than its factorization.

505505016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505505016 is about 22483.4387049668. The cubic root of 505505016 is about 796.6027899587.

It can be divided in two parts, 505 and 505016, that added together give a square (505521 = 7112).

The spelling of 505505016 in words is "five hundred five million, five hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 313 626 939 1252 1878 2504 2817 3756 5634 7477 7512 8451 11268 14954 16902 22431 22536 29908 33804 44862 59816 67293 67608 89724 134586 179448 201879 269172 403758 538344 807516 1615032 2340301 4680602 7020903 9361204 14041806 18722408 21062709 28083612 42125418 56167224 63188127 84250836 126376254 168501672 252752508 505505016