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506471742 = 2327411719
BaseRepresentation
bin11110001100000…
…010010100111110
31022022000102121200
4132030002110332
52014124043432
6122131240330
715356640000
oct3614022476
91268012550
10506471742
1123a987797
121217490a6
1380c0ca2a
144b39c370
152e6e5a7c
hex1e30253e

506471742 has 60 divisors (see below), whose sum is σ = 1280281080. Its totient is φ = 144693864.

The previous prime is 506471741. The next prime is 506471761. The reversal of 506471742 is 247174605.

506471742 is a `hidden beast` number, since 5 + 0 + 647 + 1 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506471697 and 506471706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506471741) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37359 + ... + 49077.

It is an arithmetic number, because the mean of its divisors is an integer number (21338018).

Almost surely, 2506471742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506471742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640140540).

506471742 is an abundant number, since it is smaller than the sum of its proper divisors (773809338).

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

506471742 is a wasteful number, since it uses less digits than its factorization.

506471742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 506471742 is about 22504.9270605350. The cubic root of 506471742 is about 797.1102733765.

The spelling of 506471742 in words is "five hundred six million, four hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2401 3087 4802 6174 7203 11719 14406 21609 23438 35157 43218 70314 82033 105471 164066 210942 246099 492198 574231 738297 1148462 1476594 1722693 3445386 4019617 5168079 8039234 10336158 12058851 24117702 28137319 36176553 56274638 72353106 84411957 168823914 253235871 506471742