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855836900 = 2252231392677
BaseRepresentation
bin110011000000110…
…000100011100100
32012122102000111222
4303000300203210
53223043240100
6220531315512
730131331212
oct6300604344
92178360458
10855836900
113aa108a26
121ba74bb98
13108402c89
1481941cb2
1550206485
hex330308e4

855836900 has 72 divisors (see below), whose sum is σ = 1952583360. Its totient is φ = 324973440.

The previous prime is 855836897. The next prime is 855836903. The reversal of 855836900 is 9638558.

It is an interprime number because it is at equal distance from previous prime (855836897) and next prime (855836903).

It is a super-2 number, since 2×8558369002 = 1464913598803220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855836903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 318362 + ... + 321038.

Almost surely, 2855836900 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 855836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976291680).

855836900 is an abundant number, since it is smaller than the sum of its proper divisors (1096746460).

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

855836900 is a wasteful number, since it uses less digits than its factorization.

855836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 855836900 is about 29254.6902222533. The cubic root of 855836900 is about 949.4315713081.

The spelling of 855836900 in words is "eight hundred fifty-five million, eight hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 139 230 278 460 556 575 695 1150 1390 2300 2677 2780 3197 3475 5354 6394 6950 10708 12788 13385 13900 15985 26770 31970 53540 61571 63940 66925 79925 123142 133850 159850 246284 267700 307855 319700 372103 615710 744206 1231420 1488412 1539275 1860515 3078550 3721030 6157100 7442060 8558369 9302575 17116738 18605150 34233476 37210300 42791845 85583690 171167380 213959225 427918450 855836900