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485895168 = 21032114793
BaseRepresentation
bin11100111101100…
…010110000000000
31020212022000212100
4130331202300000
51443342121133
6120114230400
715020016663
oct3475426000
91225260770
10485895168
1122a303260
12116885400
1379887045
14487636da
152c9cde13
hex1cf62c00

485895168 has 132 divisors (see below), whose sum is σ = 1530877608. Its totient is φ = 147210240.

The previous prime is 485895127. The next prime is 485895169. The reversal of 485895168 is 861598584.

It is a happy number.

485895168 is a `hidden beast` number, since 4 + 8 + 589 + 51 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×4858951682 = 472188228571496448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (485895169) 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, 98980 + ... + 103772.

Almost surely, 2485895168 is an apocalyptic number.

485895168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765438804).

485895168 is an abundant number, since it is smaller than the sum of its proper divisors (1044982440).

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

485895168 is a wasteful number, since it uses less digits than its factorization.

485895168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4809 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 485895168 is about 22043.0299187748. The cubic root of 485895168 is about 786.1658838351.

The spelling of 485895168 in words is "four hundred eighty-five million, eight hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 4793 5632 6336 8448 9216 9586 11264 12672 14379 16896 19172 25344 28758 33792 38344 43137 50688 52723 57516 76688 86274 101376 105446 115032 153376 158169 172548 210892 230064 306752 316338 345096 421784 460128 474507 613504 632676 690192 843568 920256 949014 1227008 1265352 1380384 1687136 1840512 1898028 2454016 2530704 2760768 3374272 3681024 3796056 4908032 5061408 5521536 6748544 7362048 7592112 10122816 11043072 13497088 14724096 15184224 20245632 22086144 26994176 30368448 40491264 44172288 53988352 60736896 80982528 121473792 161965056 242947584 485895168