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632052 = 223297181
BaseRepresentation
bin10011010010011110100
31012010000100
42122103310
5130211202
621314100
75241501
oct2322364
91163010
10632052
113a1963
12265930
131918c5
141264a8
15c741c
hex9a4f4

632052 has 36 divisors (see below), whose sum is σ = 1623076. Its totient is φ = 207360.

The previous prime is 632041. The next prime is 632053. The reversal of 632052 is 250236.

632052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 527076 = 324^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632053) by changing a digit.

632052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3402 + ... + 3582.

2632052 is an apocalyptic number.

It is an amenable number.

632052 is an abundant number, since it is smaller than the sum of its proper divisors (991024).

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

632052 is a wasteful number, since it uses less digits than its factorization.

632052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 632052 is about 795.0169809507. The cubic root of 632052 is about 85.8191621015.

Adding to 632052 its reverse (250236), we get a palindrome (882288).

The spelling of 632052 in words is "six hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 181 194 291 362 388 543 582 724 873 1086 1164 1629 1746 2172 3258 3492 6516 17557 35114 52671 70228 105342 158013 210684 316026 632052