Search a number
-
+
2868283008 = 27334319301
BaseRepresentation
bin1010101011110110…
…1000011010000000
321101220011212121000
42222331220122000
521333240024013
61152341132000
7131036001063
oct25275503200
97356155530
102868283008
111242086528
126806ba000
133693173a6
141d2d1a8da
1511bc26973
hexaaf68680

2868283008 has 128 divisors (see below), whose sum is σ = 8662737600. Its totient is φ = 933811200.

The previous prime is 2868283003. The next prime is 2868283009. The reversal of 2868283008 is 8003828682.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2868283003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138958 + ... + 158258.

Almost surely, 22868283008 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 2868283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331368800).

2868283008 is an abundant number, since it is smaller than the sum of its proper divisors (5794454592).

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

2868283008 is a wasteful number, since it uses less digits than its factorization.

2868283008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19367 (or 19349 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2868283008 is about 53556.3535726621. The cubic root of 2868283008 is about 1420.8252506469.

The spelling of 2868283008 in words is "two billion, eight hundred sixty-eight million, two hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3456 4128 4644 5504 6192 8256 9288 12384 16512 18576 19301 24768 37152 38602 49536 57903 74304 77204 115806 148608 154408 173709 231612 308816 347418 463224 521127 617632 694836 829943 926448 1042254 1235264 1389672 1659886 1852896 2084508 2470528 2489829 2779344 3319772 3705792 4169016 4979658 5558688 6639544 7411584 7469487 8338032 9959316 11117376 13279088 14938974 16676064 19918632 22234752 22408461 26558176 29877948 33352128 39837264 44816922 53116352 59755896 66704256 79674528 89633844 106232704 119511792 159349056 179267688 239023584 318698112 358535376 478047168 717070752 956094336 1434141504 2868283008