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4642464 = 253371307
BaseRepresentation
bin10001101101011010100000
322201212021010
4101231122200
52142024324
6243300520
754313611
oct21553240
98655233
104642464
112690a52
12167a740
13c67128
1488bc08
1561a829
hex46d6a0

4642464 has 48 divisors (see below), whose sum is σ = 12525408. Its totient is φ = 1504512.

The previous prime is 4642459. The next prime is 4642483.

4642464 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 44 + 65 + 44 + 217 + 49 + 66 + 411 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2899 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (260946).

Almost surely, 24642464 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 4642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262704).

4642464 is an abundant number, since it is smaller than the sum of its proper divisors (7882944).

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

4642464 is a wasteful number, since it uses less digits than its factorization.

4642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4642464 is about 2154.6377885854. The cubic root of 4642464 is about 166.8205370109.

The spelling of 4642464 in words is "four million, six hundred forty-two thousand, four hundred sixty-four".