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1325449440 = 25335753827
BaseRepresentation
bin100111100000000…
…1100000011100000
310102101001210211000
41033000030003200
510203303340230
6335304552000
744563064040
oct11700140340
93371053730
101325449440
116201aa867
1230ba82600
131817a8913
14c8067720
157b56ab60
hex4f00c0e0

1325449440 has 384 divisors, whose sum is σ = 5408363520. Its totient is φ = 296884224.

The previous prime is 1325449427. The next prime is 1325449457. The reversal of 1325449440 is 449445231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1325449395 and 1325449404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1602307 + ... + 1603133.

It is an arithmetic number, because the mean of its divisors is an integer number (14084280).

Almost surely, 21325449440 is an apocalyptic number.

1325449440 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 1325449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704181760).

1325449440 is an abundant number, since it is smaller than the sum of its proper divisors (4082914080).

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

1325449440 is a wasteful number, since it uses less digits than its factorization.

1325449440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1325449440 is about 36406.7224561619. The cubic root of 1325449440 is about 1098.4687896400.

The spelling of 1325449440 in words is "one billion, three hundred twenty-five million, four hundred forty-nine thousand, four hundred forty".