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1125750528 = 2833753439
BaseRepresentation
bin100001100011001…
…1001011100000000
32220110022001102000
41003012121130000
54301143004103
6303412424000
736616502340
oct10306313400
92813261360
101125750528
11528503041
12275018000
1314c2c8696
14a9722d20
1568c70aa3
hex43199700

1125750528 has 288 divisors, whose sum is σ = 3885235200. Its totient is φ = 314855424.

The previous prime is 1125750517. The next prime is 1125750539. The reversal of 1125750528 is 8250575211.

1125750528 is a `hidden beast` number, since 1 + 125 + 7 + 5 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (1125750517) and next prime (1125750539).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1125750492 and 1125750501.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2564133 + ... + 2564571.

It is an arithmetic number, because the mean of its divisors is an integer number (13490400).

Almost surely, 21125750528 is an apocalyptic number.

1125750528 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 1125750528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942617600).

1125750528 is an abundant number, since it is smaller than the sum of its proper divisors (2759484672).

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

1125750528 is an equidigital number, since it uses as much as digits as its factorization.

1125750528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 1125750528 is about 33552.2060079513. The cubic root of 1125750528 is about 1040.2731432461.

The spelling of 1125750528 in words is "one billion, one hundred twenty-five million, seven hundred fifty thousand, five hundred twenty-eight".