Search a number
-
+
897855840 = 2535573299
BaseRepresentation
bin110101100001000…
…011000101100000
32022120110210200000
4311201003011200
53314322341330
6225032100000
731151435340
oct6541030540
92276423600
10897855840
114208a8422
12210834600
1311402575b
148735cd20
1553c56560
hex35843160

897855840 has 288 divisors, whose sum is σ = 3632428800. Its totient is φ = 205161984.

The previous prime is 897855823. The next prime is 897855859. The reversal of 897855840 is 48558798.

897855840 is a `hidden beast` number, since 89 + 7 + 8 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×8978558404 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 270511 + ... + 273809.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2897855840 is an apocalyptic number.

897855840 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 897855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

897855840 is an abundant number, since it is smaller than the sum of its proper divisors (2734572960).

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

897855840 is a wasteful number, since it uses less digits than its factorization.

897855840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 897855840 is about 29964.2426902467. The cubic root of 897855840 is about 964.7220476115.

The spelling of 897855840 in words is "eight hundred ninety-seven million, eight hundred fifty-five thousand, eight hundred forty".