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485316864 = 2832375693
BaseRepresentation
bin11100111011010…
…101100100000000
31020211012122120200
4130323111210000
51443220114424
6120054005200
715012060654
oct3473254400
91224178520
10485316864
11229a4881a
12116646800
1379713a56
1448652a64
152c9178c9
hex1ced5900

485316864 has 108 divisors (see below), whose sum is σ = 1437359196. Its totient is φ = 157372416.

The previous prime is 485316857. The next prime is 485316889. The reversal of 485316864 is 468613584.

485316864 is a `hidden beast` number, since 485 + 3 + 168 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 249387264 + 235929600 = 15792^2 + 15360^2 .

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 11 ways as a sum of consecutive naturals, for example, 82402 + ... + 88094.

Almost surely, 2485316864 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 485316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718679598).

485316864 is an abundant number, since it is smaller than the sum of its proper divisors (952042332).

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

485316864 is a wasteful number, since it uses less digits than its factorization.

485316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5735 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 485316864 is about 22029.9083974491. The cubic root of 485316864 is about 785.8538663507.

The spelling of 485316864 in words is "four hundred eighty-five million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1152 1184 1332 1776 2304 2368 2664 3552 4736 5328 5693 7104 9472 10656 11386 14208 17079 21312 22772 28416 34158 42624 45544 51237 68316 85248 91088 102474 136632 182176 204948 210641 273264 364352 409896 421282 546528 631923 728704 819792 842564 1093056 1263846 1457408 1639584 1685128 1895769 2186112 2527692 3279168 3370256 3791538 4372224 5055384 6558336 6740512 7583076 10110768 13116672 13481024 15166152 20221536 26962048 30332304 40443072 53924096 60664608 80886144 121329216 161772288 242658432 485316864