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425184 = 25343103
BaseRepresentation
bin1100111110011100000
3210121020120
41213303200
5102101214
613040240
73420414
oct1476340
9717216
10425184
112704a1
12186080
1311b6b6
14b0d44
1585ea9
hex67ce0

425184 has 48 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 137088.

The previous prime is 425149. The next prime is 425189. The reversal of 425184 is 481524.

425184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 425184.

It is not an unprimeable number, because it can be changed into a prime (425189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4077 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

425184 is a Friedman number, since it can be written as 412*(8+4^5), using all its digits and the basic arithmetic operations.

2425184 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 425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

425184 is an abundant number, since it is smaller than the sum of its proper divisors (727968).

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

425184 is a wasteful number, since it uses less digits than its factorization.

425184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 425184 is about 652.0613468072. The cubic root of 425184 is about 75.1955784333.

The spelling of 425184 in words is "four hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 103 129 172 206 258 309 344 412 516 618 688 824 1032 1236 1376 1648 2064 2472 3296 4128 4429 4944 8858 9888 13287 17716 26574 35432 53148 70864 106296 141728 212592 425184