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505716102 = 23317717759
BaseRepresentation
bin11110001001001…
…001110110000110
31022020121001002000
4132021021312012
52013430403402
6122103130130
715350341653
oct3611116606
91266531060
10505716102
1123a510aa1
12121443946
1380a06ac8
144b242c2a
152e5e6c1c
hex1e249d86

505716102 has 64 divisors (see below), whose sum is σ = 1206835200. Its totient is φ = 156401280.

The previous prime is 505716097. The next prime is 505716109. The reversal of 505716102 is 201617505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505716109) 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, 61299 + ... + 69057.

It is an arithmetic number, because the mean of its divisors is an integer number (18856800).

Almost surely, 2505716102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505716102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603417600).

505716102 is an abundant number, since it is smaller than the sum of its proper divisors (701119098).

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

505716102 is a wasteful number, since it uses less digits than its factorization.

505716102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 505716102 is about 22488.1324702608. The cubic root of 505716102 is about 796.7136548637.

The spelling of 505716102 in words is "five hundred five million, seven hundred sixteen thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 102 142 153 213 306 426 459 639 918 1207 1278 1917 2414 3621 3834 7242 7759 10863 15518 21726 23277 32589 46554 65178 69831 131903 139662 209493 263806 395709 418986 550889 791418 1101778 1187127 1652667 2374254 3305334 3561381 4958001 7122762 9365113 9916002 14874003 18730226 28095339 29748006 56190678 84286017 168572034 252858051 505716102