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1325046528 = 28321324183
BaseRepresentation
bin100111011111010…
…1001101100000000
310102100022100010100
41032332221230000
510203202442103
6335252202400
744556465261
oct11676515400
93370270110
101325046528
1161aa55083
1230b909400
13181697400
14c7da0968
157b4db5a3
hex4efa9b00

1325046528 has 324 divisors, whose sum is σ = 4288880232. Its totient is φ = 392970240.

The previous prime is 1325046523. The next prime is 1325046533. The reversal of 1325046528 is 8256405231.

It is an interprime number because it is at equal distance from previous prime (1325046523) and next prime (1325046533).

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 = 1325046492 and 1325046501.

It is not an unprimeable number, because it can be changed into a prime (1325046523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15964375 + ... + 15964457.

Almost surely, 21325046528 is an apocalyptic number.

1325046528 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 1325046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144440116).

1325046528 is an abundant number, since it is smaller than the sum of its proper divisors (2963833704).

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

1325046528 is a wasteful number, since it uses less digits than its factorization.

1325046528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1325046528 is about 36401.1885520240. The cubic root of 1325046528 is about 1098.3574736598.

The spelling of 1325046528 in words is "one billion, three hundred twenty-five million, forty-six thousand, five hundred twenty-eight".