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489481632 = 25326725367
BaseRepresentation
bin11101001011001…
…110010110100000
31021010001020120100
4131023032112200
52000301403012
6120323142400
715062345103
oct3513162640
91233036510
10489481632
11231332882
12117b14a00
137a541603
144901873a
152ce8b8dc
hex1d2ce5a0

489481632 has 72 divisors (see below), whose sum is σ = 1412794656. Its totient is φ = 160718976.

The previous prime is 489481609. The next prime is 489481637. The reversal of 489481632 is 236184984.

It is a happy number.

489481632 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (489481637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6613 + ... + 31979.

It is an arithmetic number, because the mean of its divisors is an integer number (19622148).

Almost surely, 2489481632 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 489481632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706397328).

489481632 is an abundant number, since it is smaller than the sum of its proper divisors (923313024).

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

489481632 is a wasteful number, since it uses less digits than its factorization.

489481632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25450 (or 25439 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 489481632 is about 22124.2317832733. The cubic root of 489481632 is about 788.0954130475.

The spelling of 489481632 in words is "four hundred eighty-nine million, four hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 25367 50734 76101 101468 152202 202936 228303 304404 405872 456606 608808 811744 913212 1217616 1699589 1826424 2435232 3399178 3652848 5098767 6798356 7305696 10197534 13596712 15296301 20395068 27193424 30592602 40790136 54386848 61185204 81580272 122370408 163160544 244740816 489481632