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855291840 = 263513193607
BaseRepresentation
bin110010111110101…
…011011111000000
32012121101022211120
4302332223133000
53222423314330
6220511512240
730123601134
oct6276533700
92177338746
10855291840
113a9876467
121ba528680
13108271b60
148183d3c4
1550149c10
hex32fab7c0

855291840 has 224 divisors, whose sum is σ = 3079211520. Its totient is φ = 199397376.

The previous prime is 855291817. The next prime is 855291911. The reversal of 855291840 is 48192558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 855291792 and 855291801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235317 + ... + 238923.

It is an arithmetic number, because the mean of its divisors is an integer number (13746480).

Almost surely, 2855291840 is an apocalyptic number.

855291840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539605760).

855291840 is an abundant number, since it is smaller than the sum of its proper divisors (2223919680).

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

855291840 is a wasteful number, since it uses less digits than its factorization.

855291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 855291840 is about 29245.3729673602. The cubic root of 855291840 is about 949.2299725100.

It can be divided in two parts, 85 and 5291840, that added together give a palindrome (5291925).

The spelling of 855291840 in words is "eight hundred fifty-five million, two hundred ninety-one thousand, eight hundred forty".