Search a number
-
+
487861824 = 2634675441
BaseRepresentation
bin11101000101000…
…010111001000000
31020222222221121110
4131011002321000
51444343034244
6120224323320
715042520452
oct3505027100
91228887543
10487861824
1123042689a
12117473540
137a0c5248
1448b162d2
152cc6b9b9
hex1d142e40

487861824 has 56 divisors (see below), whose sum is σ = 1293802848. Its totient is φ = 162242560.

The previous prime is 487861811. The next prime is 487861831. The reversal of 487861824 is 428168784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86944 + ... + 92384.

Almost surely, 2487861824 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 487861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646901424).

487861824 is an abundant number, since it is smaller than the sum of its proper divisors (805941024).

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

487861824 is a wasteful number, since it uses less digits than its factorization.

487861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5913 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 487861824 is about 22087.5943461482. The cubic root of 487861824 is about 787.2251223062.

The spelling of 487861824 in words is "four hundred eighty-seven million, eight hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 467 934 1401 1868 2802 3736 5441 5604 7472 10882 11208 14944 16323 21764 22416 29888 32646 43528 44832 65292 87056 89664 130584 174112 261168 348224 522336 1044672 2540947 5081894 7622841 10163788 15245682 20327576 30491364 40655152 60982728 81310304 121965456 162620608 243930912 487861824