Search a number
-
+
455948448 = 2534749463
BaseRepresentation
bin11011001011010…
…011100010100000
31011202221120200120
4123023103202200
51413210322243
6113124320240
714204332524
oct3313234240
91152846616
10455948448
112144098aa
12108843080
13736003a7
14447a9d84
152a065c83
hex1b2d38a0

455948448 has 24 divisors (see below), whose sum is σ = 1196864928. Its totient is φ = 151982784.

The previous prime is 455948429. The next prime is 455948497. The reversal of 455948448 is 844849554.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 455948448.

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, 2374636 + ... + 2374827.

It is an arithmetic number, because the mean of its divisors is an integer number (49869372).

Almost surely, 2455948448 is an apocalyptic number.

455948448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

455948448 is an abundant number, since it is smaller than the sum of its proper divisors (740916480).

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

455948448 is a wasteful number, since it uses less digits than its factorization.

455948448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749476 (or 4749468 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The square root of 455948448 is about 21352.9493981511. The cubic root of 455948448 is about 769.6712196169.

The spelling of 455948448 in words is "four hundred fifty-five million, nine hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4749463 9498926 14248389 18997852 28496778 37995704 56993556 75991408 113987112 151982816 227974224 455948448