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505246716 = 2232138771231
BaseRepresentation
bin11110000111010…
…111001111111100
31022012201012012100
4132013113033330
52013320343331
6122045105100
715343345332
oct3607271774
91265635170
10505246716
1123a220377
12121258190
13808a1270
144b15db52
152e552ae6
hex1e1d73fc

505246716 has 72 divisors (see below), whose sum is σ = 1378080704. Its totient is φ = 155157120.

The previous prime is 505246697. The next prime is 505246723. The reversal of 505246716 is 617642505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409821 + ... + 411051.

Almost surely, 2505246716 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 505246716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689040352).

505246716 is an abundant number, since it is smaller than the sum of its proper divisors (872833988).

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

505246716 is a wasteful number, since it uses less digits than its factorization.

505246716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 505246716 is about 22477.6937429088. The cubic root of 505246716 is about 796.4670856957.

The spelling of 505246716 in words is "five hundred five million, two hundred forty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 877 1231 1754 2462 2631 3508 3693 4924 5262 7386 7893 10524 11079 11401 14772 15786 16003 22158 22802 31572 32006 34203 44316 45604 48009 64012 68406 96018 102609 136812 144027 192036 205218 288054 410436 576108 1079587 2159174 3238761 4318348 6477522 9716283 12955044 14034631 19432566 28069262 38865132 42103893 56138524 84207786 126311679 168415572 252623358 505246716