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489525984 = 25333715313
BaseRepresentation
bin11101001011011…
…001001011100000
31021010010111102000
4131023121023200
52000304312414
6120324124000
715062621313
oct3513311340
91233114360
10489525984
11231363132
12117b36600
137a55885c
144902a97a
152ce99b09
hex1d2d92e0

489525984 has 96 divisors (see below), whose sum is σ = 1466468640. Its totient is φ = 158754816.

The previous prime is 489525983. The next prime is 489525989.

It is a happy number.

489525984 is a `hidden beast` number, since 48 + 9 + 5 + 2 + 598 + 4 = 666.

489525984 is nontrivially palindromic in base 10 and base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4895259842 = 479271378022336512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 489525984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489525983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24312 + ... + 39624.

It is an arithmetic number, because the mean of its divisors is an integer number (15275715).

Almost surely, 2489525984 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 489525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733234320).

489525984 is an abundant number, since it is smaller than the sum of its proper divisors (976942656).

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

489525984 is a wasteful number, since it uses less digits than its factorization.

489525984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15355 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 489525984 is about 22125.2341004564. The cubic root of 489525984 is about 788.1192154743.

The spelling of 489525984 in words is "four hundred eighty-nine million, five hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15313 15984 30626 31968 45939 61252 91878 122504 137817 183756 245008 275634 367512 413451 490016 551268 566581 735024 826902 1102536 1133162 1470048 1653804 1699743 2205072 2266324 3307608 3399486 4410144 4532648 5099229 6615216 6798972 9065296 10198458 13230432 13597944 15297687 18130592 20396916 27195888 30595374 40793832 54391776 61190748 81587664 122381496 163175328 244762992 489525984