Search a number
-
+
506539376 = 24719922727
BaseRepresentation
bin11110001100010…
…010110101110000
31022022010212101122
4132030102311300
52014133230001
6122132521412
715360341120
oct3614226560
91268125348
10506539376
1123aa23592
12121780268
1380c34755
144b3b8c80
152e70ab1b
hex1e312d70

506539376 has 40 divisors (see below), whose sum is σ = 1127308800. Its totient is φ = 215987904.

The previous prime is 506539333. The next prime is 506539393. The reversal of 506539376 is 673935605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10925 + ... + 33651.

It is an arithmetic number, because the mean of its divisors is an integer number (28182720).

Almost surely, 2506539376 is an apocalyptic number.

506539376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506539376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563654400).

506539376 is an abundant number, since it is smaller than the sum of its proper divisors (620769424).

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

506539376 is a wasteful number, since it uses less digits than its factorization.

506539376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22935 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 44.

The square root of 506539376 is about 22506.4296590996. The cubic root of 506539376 is about 797.1457537084.

The spelling of 506539376 in words is "five hundred six million, five hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 796 1393 1592 2786 3184 5572 11144 22288 22727 45454 90908 159089 181816 318178 363632 636356 1272712 2545424 4522673 9045346 18090692 31658711 36181384 63317422 72362768 126634844 253269688 506539376