Search a number
-
+
181798848 = 26327114099
BaseRepresentation
bin10101101011000…
…00011111000000
3110200002100010200
422311200133000
5333020030343
630012325200
74335156540
oct1265403700
9420070120
10181798848
1193691190
1250a73800
132b8838aa
141a205320
1510e614d3
hexad607c0

181798848 has 168 divisors, whose sum is σ = 649833600. Its totient is φ = 47208960.

The previous prime is 181798847. The next prime is 181798853. The reversal of 181798848 is 848897181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1817988482 = 66101642268254208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 181798794 and 181798803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181798843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42303 + ... + 46401.

Almost surely, 2181798848 is an apocalyptic number.

181798848 is a gapful number since it is divisible by the number (18) 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 181798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324916800).

181798848 is an abundant number, since it is smaller than the sum of its proper divisors (468034752).

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

181798848 is a wasteful number, since it uses less digits than its factorization.

181798848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4122 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The square root of 181798848 is about 13483.2803130396. The cubic root of 181798848 is about 566.4962538706.

The spelling of 181798848 in words is "one hundred eighty-one million, seven hundred ninety-eight thousand, eight hundred forty-eight".