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1925088 = 253111823
BaseRepresentation
bin111010101111111100000
310121210201120
413111333200
5443100323
6105132240
722235334
oct7257740
93553646
101925088
1110a5390
1278a080
13525309
143817c4
152805e3
hex1d5fe0

1925088 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 583040.

The previous prime is 1925087. The next prime is 1925117. The reversal of 1925088 is 8805291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

21925088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1925088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

1925088 is an abundant number, since it is smaller than the sum of its proper divisors (3590688).

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

1925088 is a wasteful number, since it uses less digits than its factorization.

1925088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1925088 is about 1387.4754051874. The cubic root of 1925088 is about 124.3989922824.

The spelling of 1925088 in words is "one million, nine hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1823 3646 5469 7292 10938 14584 20053 21876 29168 40106 43752 58336 60159 80212 87504 120318 160424 175008 240636 320848 481272 641696 962544 1925088