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464128 = 287237
BaseRepresentation
bin1110001010100000000
3212120122221
41301110000
5104323003
613540424
73642100
oct1612400
9776587
10464128
11297785
121a4714
13133342
14c1200
15927bd
hex71500

464128 has 54 divisors (see below), whose sum is σ = 1106826. Its totient is φ = 193536.

The previous prime is 464119. The next prime is 464129. The reversal of 464128 is 821464.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 12544 = 672^2 + 112^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464129) by changing a digit.

464128 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 5 ways as a sum of consecutive naturals, for example, 12526 + ... + 12562.

2464128 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 464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553413).

464128 is an abundant number, since it is smaller than the sum of its proper divisors (642698).

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

464128 is an equidigital number, since it uses as much as digits as its factorization.

464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 464128 is about 681.2694033934. The cubic root of 464128 is about 77.4246510116.

The spelling of 464128 in words is "four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 392 448 518 592 784 896 1036 1184 1568 1792 1813 2072 2368 3136 3626 4144 4736 6272 7252 8288 9472 12544 14504 16576 29008 33152 58016 66304 116032 232064 464128