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1325778048 = 273271719509
BaseRepresentation
bin100111100000101…
…1100010010000000
310102101200111120200
41033001130102000
510203344344143
6335320005200
744565633060
oct11701342200
93371614520
101325778048
11620404741
12310000800
1318189236a
14c81113a0
157b5d31d3
hex4f05c480

1325778048 has 384 divisors, whose sum is σ = 4869072000. Its totient is φ = 337084416.

The previous prime is 1325778001. The next prime is 1325778073. The reversal of 1325778048 is 8408775231.

1325778048 is a `hidden beast` number, since 1 + 32 + 577 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1325777994 and 1325778012.

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, 2604418 + ... + 2604926.

It is an arithmetic number, because the mean of its divisors is an integer number (12679875).

Almost surely, 21325778048 is an apocalyptic number.

1325778048 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 1325778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434536000).

1325778048 is an abundant number, since it is smaller than the sum of its proper divisors (3543293952).

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

1325778048 is a wasteful number, since it uses less digits than its factorization.

1325778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1325778048 is about 36411.2351891556. The cubic root of 1325778048 is about 1098.5595603111.

It can be divided in two parts, 132577 and 8048, that added together give a square (140625 = 3752).

The spelling of 1325778048 in words is "one billion, three hundred twenty-five million, seven hundred seventy-eight thousand, forty-eight".