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1825463640 = 23357211132167
BaseRepresentation
bin110110011001110…
…0101110101011000
311201012221011100110
41230303211311120
512214304314030
6501050004320
763144120300
oct15463456530
94635834313
101825463640
11857476940
1242b4166a0
13231267300
14134624600
15aa3d81b0
hex6cce5d58

1825463640 has 576 divisors, whose sum is σ = 7570402560. Its totient is φ = 348042240.

The previous prime is 1825463639. The next prime is 1825463641. The reversal of 1825463640 is 463645281.

It is an interprime number because it is at equal distance from previous prime (1825463639) and next prime (1825463641).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825463641) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10930837 + ... + 10931003.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 21825463640 is an apocalyptic number.

1825463640 is a gapful number since it is divisible by the number (10) 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 1825463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785201280).

1825463640 is an abundant number, since it is smaller than the sum of its proper divisors (5744938920).

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

1825463640 is a wasteful number, since it uses less digits than its factorization.

1825463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1825463640 is about 42725.4448777306. Note that the first 3 decimals coincide. The cubic root of 1825463640 is about 1222.1496723266.

The spelling of 1825463640 in words is "one billion, eight hundred twenty-five million, four hundred sixty-three thousand, six hundred forty".