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285268816 = 24723374173
BaseRepresentation
bin10001000000001…
…101101101010000
3201212210011020201
4101000031231100
51041012100231
644150144544
710032513340
oct2100155520
9655704221
10285268816
11137032758
127b652154
1347140921
1429c5ad20
151a09e161
hex1100db50

285268816 has 160 divisors (see below), whose sum is σ = 702955008. Its totient is φ = 109486080.

The previous prime is 285268801. The next prime is 285268817. The reversal of 285268816 is 618862582.

285268816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285268817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3907756 + ... + 3907828.

Almost surely, 2285268816 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 285268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351477504).

285268816 is an abundant number, since it is smaller than the sum of its proper divisors (417686192).

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

285268816 is a wasteful number, since it uses less digits than its factorization.

285268816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 285268816 is about 16889.9027824319. The cubic root of 285268816 is about 658.2912763320.

The spelling of 285268816 in words is "two hundred eighty-five million, two hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 37 41 46 56 73 74 82 92 112 146 148 161 164 184 259 287 292 296 322 328 368 511 518 574 584 592 644 656 851 943 1022 1036 1148 1168 1288 1517 1679 1702 1886 2044 2072 2296 2576 2701 2993 3034 3358 3404 3772 4088 4144 4592 5402 5957 5986 6068 6601 6716 6808 7544 8176 10619 10804 11753 11914 11972 12136 13202 13432 13616 15088 18907 20951 21238 21608 23506 23828 23944 24272 26404 26864 34891 37814 41902 42476 43216 47012 47656 47888 52808 62123 68839 69782 75628 83804 84952 94024 95312 105616 110741 124246 137678 139564 151256 167608 169904 188048 221482 244237 248492 275356 279128 302512 335216 434861 442964 481873 488474 496984 550712 558256 775187 869722 885928 963746 976948 993968 1101424 1550374 1739444 1771856 1927492 1953896 2547043 3100748 3478888 3854984 3907792 5094086 6201496 6957776 7709968 10188172 12402992 17829301 20376344 35658602 40752688 71317204 142634408 285268816