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485657984 = 277631859
BaseRepresentation
bin11100111100101…
…000110110000000
31020211211222111202
4130330220312000
51443312023414
6120105200332
715015011330
oct3474506600
91224758452
10485657984
1122a161039
121167900a8
13798030b6
14487010c0
152c9839de
hex1cf28d80

485657984 has 64 divisors (see below), whose sum is σ = 1108780800. Its totient is φ = 207567360.

The previous prime is 485657981. The next prime is 485658007. The reversal of 485657984 is 489756584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485657981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 564947 + ... + 565805.

It is an arithmetic number, because the mean of its divisors is an integer number (17324700).

Almost surely, 2485657984 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 485657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554390400).

485657984 is an abundant number, since it is smaller than the sum of its proper divisors (623122816).

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

485657984 is an equidigital number, since it uses as much as digits as its factorization.

485657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 56.

The square root of 485657984 is about 22037.6492394266. The cubic root of 485657984 is about 786.0379438116.

The spelling of 485657984 in words is "four hundred eighty-five million, six hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 631 859 896 1262 1718 2524 3436 4417 5048 6013 6872 8834 10096 12026 13744 17668 20192 24052 27488 35336 40384 48104 54976 70672 80768 96208 109952 141344 192416 282688 384832 542029 565376 769664 1084058 2168116 3794203 4336232 7588406 8672464 15176812 17344928 30353624 34689856 60707248 69379712 121414496 242828992 485657984