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485114688 = 26321922333
BaseRepresentation
bin11100111010100…
…100001101000000
31020210211101020200
4130322210031000
51443142132223
6120045405200
715010256352
oct3472441500
91223741220
10485114688
1122991a933
12116569800
1379672a16
14485dd0d2
152c8c7a43
hex1cea4340

485114688 has 126 divisors (see below), whose sum is σ = 1468158354. Its totient is φ = 153128448.

The previous prime is 485114657. The next prime is 485114699. The reversal of 485114688 is 886411584.

It can be written as a sum of positive squares in only one way, i.e., 384473664 + 100641024 = 19608^2 + 10032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206770 + ... + 209102.

Almost surely, 2485114688 is an apocalyptic number.

485114688 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 485114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734079177).

485114688 is an abundant number, since it is smaller than the sum of its proper divisors (983043666).

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

485114688 is a wasteful number, since it uses less digits than its factorization.

485114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2357 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 485114688 is about 22025.3192485376. The cubic root of 485114688 is about 785.7447260682.

The spelling of 485114688 in words is "four hundred eighty-five million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 576 608 684 722 912 1083 1216 1368 1444 1824 2166 2333 2736 2888 3249 3648 4332 4666 5472 5776 6498 6999 8664 9332 10944 11552 12996 13998 17328 18664 20997 23104 25992 27996 34656 37328 41994 44327 51984 55992 69312 74656 83988 88654 103968 111984 132981 149312 167976 177308 207936 223968 265962 335952 354616 398943 447936 531924 671904 709232 797886 842213 1063848 1343808 1418464 1595772 1684426 2127696 2526639 2836928 3191544 3368852 4255392 5053278 6383088 6737704 7579917 8510784 10106556 12766176 13475408 15159834 20213112 25532352 26950816 30319668 40426224 53901632 60639336 80852448 121278672 161704896 242557344 485114688