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464464 = 247111329
BaseRepresentation
bin1110001011001010000
3212121010101
41301121100
5104330324
613542144
73643060
oct1613120
9777111
10464464
11297a60
121a4954
13133540
14c13a0
1592944
hex71650

464464 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 161280.

The previous prime is 464459. The next prime is 464467.

464464 is nontrivially palindromic in base 10.

464464 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16002 + ... + 16030.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2464464 is an apocalyptic number.

464464 is a gapful number since it is divisible by the number (44) 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 464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

464464 is an abundant number, since it is smaller than the sum of its proper divisors (785456).

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

464464 is a wasteful number, since it uses less digits than its factorization.

464464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 464464 is about 681.5159572600. The cubic root of 464464 is about 77.4433300597.

The spelling of 464464 in words is "four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 29 44 52 56 58 77 88 91 104 112 116 143 154 176 182 203 208 232 286 308 319 364 377 406 464 572 616 638 728 754 812 1001 1144 1232 1276 1456 1508 1624 2002 2233 2288 2552 2639 3016 3248 4004 4147 4466 5104 5278 6032 8008 8294 8932 10556 16016 16588 17864 21112 29029 33176 35728 42224 58058 66352 116116 232232 464464