Search a number
-
+
2850259968 = 21033103091
BaseRepresentation
bin1010100111100011…
…1000010000000000
321100122021012122000
42221320320100000
521314131304333
61150454544000
7130426544553
oct25170702000
97318235560
102850259968
111232996556
12676668000
13365676a7a
141d078869a
1511a366713
hexa9e38400

2850259968 has 88 divisors (see below), whose sum is σ = 8441172960. Its totient is φ = 950077440.

The previous prime is 2850259949. The next prime is 2850259987. The reversal of 2850259968 is 8699520582.

2850259968 is a `hidden beast` number, since 28 + 502 + 59 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2850259949) and next prime (2850259987).

It is a super-2 number, since 2×28502599682 = 16247963770366722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23898 + ... + 79193.

It is an arithmetic number, because the mean of its divisors is an integer number (95922420).

Almost surely, 22850259968 is an apocalyptic number.

It is an amenable number.

2850259968 is an abundant number, since it is smaller than the sum of its proper divisors (5590912992).

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

2850259968 is a wasteful number, since it uses less digits than its factorization.

2850259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103120 (or 103096 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2850259968 is about 53387.8260280375. The cubic root of 2850259968 is about 1417.8430467847.

The spelling of 2850259968 in words is "two billion, eight hundred fifty million, two hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 103091 206182 309273 412364 618546 824728 927819 1237092 1649456 1855638 2474184 2783457 3298912 3711276 4948368 5566914 6597824 7422552 9896736 11133828 13195648 14845104 19793472 22267656 26391296 29690208 39586944 44535312 52782592 59380416 79173888 89070624 105565184 118760832 158347776 178141248 237521664 316695552 356282496 475043328 712564992 950086656 1425129984 2850259968