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855398208 = 26372392663
BaseRepresentation
bin110010111111000…
…101011101000000
32012121120201202010
4302333011131000
53222440220313
6220514052520
730124523220
oct6277053500
92177521663
10855398208
113a9939375
121ba57a140
131082ab3b2
148186a080
155016b4c3
hex32fc5740

855398208 has 112 divisors (see below), whose sum is σ = 2598359040. Its totient is φ = 243285504.

The previous prime is 855398207. The next prime is 855398209. The reversal of 855398208 is 802893558.

855398208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (855398207) and next prime (855398209).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×8553982082 = 1463412188499222528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855398207) 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, 319885 + ... + 322547.

Almost surely, 2855398208 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 855398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299179520).

855398208 is an abundant number, since it is smaller than the sum of its proper divisors (1742960832).

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

855398208 is a wasteful number, since it uses less digits than its factorization.

855398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 855398208 is about 29247.1914549073. The cubic root of 855398208 is about 949.2693210706.

The spelling of 855398208 in words is "eight hundred fifty-five million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 239 336 448 478 672 717 956 1344 1434 1673 1912 2663 2868 3346 3824 5019 5326 5736 6692 7648 7989 10038 10652 11472 13384 15296 15978 18641 20076 21304 22944 26768 31956 37282 40152 42608 45888 53536 55923 63912 74564 80304 85216 107072 111846 127824 149128 160608 170432 223692 255648 298256 321216 447384 511296 596512 636457 894768 1193024 1272914 1789536 1909371 2545828 3579072 3818742 4455199 5091656 7637484 8910398 10183312 13365597 15274968 17820796 20366624 26731194 30549936 35641592 40733248 53462388 61099872 71283184 106924776 122199744 142566368 213849552 285132736 427699104 855398208