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1825023816 = 23327211313741
BaseRepresentation
bin110110011000111…
…1010011101001000
311201012002211000200
41230301322131020
512214201230231
6501032332200
763140306100
oct15461723510
94635084020
101825023816
118571a6450
1242b244060
13231142065
1413454c200
15aa34cbe6
hex6cc7a748

1825023816 has 576 divisors, whose sum is σ = 6811983360. Its totient is φ = 435456000.

The previous prime is 1825023799. The next prime is 1825023817. The reversal of 1825023816 is 6183205281.

It is a happy number.

1825023816 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1825023817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44512756 + ... + 44512796.

It is an arithmetic number, because the mean of its divisors is an integer number (11826360).

Almost surely, 21825023816 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 1825023816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405991680).

1825023816 is an abundant number, since it is smaller than the sum of its proper divisors (4986959544).

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

1825023816 is a wasteful number, since it uses less digits than its factorization.

1825023816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1825023816 is about 42720.2974708744. The cubic root of 1825023816 is about 1222.0515102447.

The spelling of 1825023816 in words is "one billion, eight hundred twenty-five million, twenty-three thousand, eight hundred sixteen".