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458630440 = 23511465761
BaseRepresentation
bin11011010101100…
…010010100101000
31011221222211200121
4123111202110220
51414402133230
6113302013024
714236202662
oct3325422450
91157884617
10458630440
11215980924
12109717174
137402c078
1444ca7532
152a3e577a
hex1b562528

458630440 has 16 divisors (see below), whose sum is σ = 1031918580. Its totient is φ = 183452160.

The previous prime is 458630413. The next prime is 458630483. The reversal of 458630440 is 44036854.

It can be written as a sum of positive squares in 2 ways, for example, as 436559236 + 22071204 = 20894^2 + 4698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 458630396 and 458630405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5732841 + ... + 5732920.

Almost surely, 2458630440 is an apocalyptic number.

458630440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458630440 is an abundant number, since it is smaller than the sum of its proper divisors (573288140).

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

458630440 is a wasteful number, since it uses less digits than its factorization.

458630440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465772 (or 11465768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 458630440 is about 21415.6587570871. The cubic root of 458630440 is about 771.1773970307.

The spelling of 458630440 in words is "four hundred fifty-eight million, six hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11465761 22931522 45863044 57328805 91726088 114657610 229315220 458630440