Search a number
-
+
463026440 = 23514977689
BaseRepresentation
bin11011100110010…
…011100100001000
31012021021011212102
4123212103210020
51422013321230
6113540132532
714321442212
oct3346234410
91167234772
10463026440
11218403688
1210b097148
1374c0ac56
14456cd5b2
152a9b3045
hex1b993908

463026440 has 32 divisors (see below), whose sum is σ = 1048815000. Its totient is φ = 183965184.

The previous prime is 463026437. The next prime is 463026457. The reversal of 463026440 is 44620364.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 323928004 + 139098436 = 17998^2 + 11794^2 .

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 7 ways as a sum of consecutive naturals, for example, 32885 + ... + 44804.

Almost surely, 2463026440 is an apocalyptic number.

463026440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463026440 is an abundant number, since it is smaller than the sum of its proper divisors (585788560).

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

463026440 is a wasteful number, since it uses less digits than its factorization.

463026440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77849 (or 77845 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 463026440 is about 21518.0491680821. The cubic root of 463026440 is about 773.6334934364.

The spelling of 463026440 in words is "four hundred sixty-three million, twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 77689 155378 310756 388445 621512 776890 1553780 3107560 11575661 23151322 46302644 57878305 92605288 115756610 231513220 463026440