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463144 = 231119277
BaseRepresentation
bin1110001000100101000
3212112022111
41301010220
5104310034
613532104
73636163
oct1610450
9775274
10463144
11296a70
121a4034
13132a66
14c0ada
1592364
hex71128

463144 has 32 divisors (see below), whose sum is σ = 1000800. Its totient is φ = 198720.

The previous prime is 463103. The next prime is 463157. The reversal of 463144 is 441364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534 + ... + 1810.

It is an arithmetic number, because the mean of its divisors is an integer number (31275).

2463144 is an apocalyptic number.

463144 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 463144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500400).

463144 is an abundant number, since it is smaller than the sum of its proper divisors (537656).

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

463144 is a wasteful number, since it uses less digits than its factorization.

463144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 463144 is about 680.5468389464. The cubic root of 463144 is about 77.3698961733.

The spelling of 463144 in words is "four hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 277 418 554 836 1108 1672 2216 3047 5263 6094 10526 12188 21052 24376 42104 57893 115786 231572 463144