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855806208 = 28319223263
BaseRepresentation
bin110011000000101…
…001000100000000
32012122100110102020
4303000221010000
53223041244313
6220530521440
730131142555
oct6300510400
92178313366
10855806208
113aa097964
121ba736280
131083c200a
1481934a2c
15501ec323
hex33029100

855806208 has 144 divisors (see below), whose sum is σ = 2417479680. Its totient is φ = 268019712.

The previous prime is 855806177. The next prime is 855806267. The reversal of 855806208 is 802608558.

It is a self number, because there is not a number n which added to its sum of digits gives 855806208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3253885 + ... + 3254147.

Almost surely, 2855806208 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 855806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208739840).

855806208 is an abundant number, since it is smaller than the sum of its proper divisors (1561673472).

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

855806208 is a wasteful number, since it uses less digits than its factorization.

855806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 855806208 is about 29254.1656520913. The cubic root of 855806208 is about 949.4202216759.

The spelling of 855806208 in words is "eight hundred fifty-five million, eight hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 223 228 256 263 304 384 446 456 526 608 669 768 789 892 912 1052 1216 1338 1578 1784 1824 2104 2432 2676 3156 3568 3648 4208 4237 4864 4997 5352 6312 7136 7296 8416 8474 9994 10704 12624 12711 14272 14592 14991 16832 16948 19988 21408 25248 25422 28544 29982 33664 33896 39976 42816 50496 50844 57088 58649 59964 67328 67792 79952 85632 100992 101688 117298 119928 135584 159904 171264 175947 201984 203376 234596 239856 271168 319808 351894 406752 469192 479712 542336 639616 703788 813504 938384 959424 1084672 1114331 1279232 1407576 1627008 1876768 1918848 2228662 2815152 3254016 3342993 3753536 3837696 4457324 5630304 6685986 7507072 8914648 11260608 13371972 15014144 17829296 22521216 26743944 35658592 45042432 53487888 71317184 106975776 142634368 213951552 285268736 427903104 855806208