Search a number
-
+
486724056 = 233721323179
BaseRepresentation
bin11101000000101…
…101000111011000
31020220212010212220
4131000231013120
51444100132211
6120144104040
715030041400
oct3500550730
91226763786
10486724056
1122a819a95
12117005020
1379ab7400
14488db800
152cae4806
hex1d02d1d8

486724056 has 288 divisors, whose sum is σ = 1602201600. Its totient is φ = 122653440.

The previous prime is 486724013. The next prime is 486724067. The reversal of 486724056 is 650427684.

It is a super-2 number, since 2×4867240562 = 473800613378182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 486723999 and 486724017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6161025 + ... + 6161103.

It is an arithmetic number, because the mean of its divisors is an integer number (5563200).

Almost surely, 2486724056 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 486724056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801100800).

486724056 is an abundant number, since it is smaller than the sum of its proper divisors (1115477544).

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

486724056 is a wasteful number, since it uses less digits than its factorization.

486724056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 486724056 is about 22061.8234967103. The cubic root of 486724056 is about 786.6126696954.

The spelling of 486724056 in words is "four hundred eighty-six million, seven hundred twenty-four thousand, fifty-six".