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3925152 = 253371159
BaseRepresentation
bin1110111110010010100000
321101102022000
432332102200
52001101102
6220044000
745235410
oct16762240
97342260
103925152
112241030
121393600
13a7579a
14742640
1552801c
hex3be4a0

3925152 has 192 divisors, whose sum is σ = 14515200. Its totient is φ = 1002240.

The previous prime is 3925151. The next prime is 3925171. The reversal of 3925152 is 2515293.

3925152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925151) by changing a digit.

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, 66499 + ... + 66557.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

Almost surely, 23925152 is an apocalyptic number.

3925152 is a gapful number since it is divisible by the number (32) 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 3925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3925152 is an abundant number, since it is smaller than the sum of its proper divisors (10590048).

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

3925152 is a wasteful number, since it uses less digits than its factorization.

3925152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 3925152 is about 1981.1996365839. The cubic root of 3925152 is about 157.7437495587.

The spelling of 3925152 in words is "three million, nine hundred twenty-five thousand, one hundred fifty-two".