Search a number
-
+
492844080 = 24352053517
BaseRepresentation
bin11101011000000…
…011010000110000
31021100101001222110
4131120003100300
52002132002310
6120523205320
715133051131
oct3530032060
91240331873
10492844080
1123321a063
12119076840
137b14ac21
1449651c88
152d402d20
hex1d603430

492844080 has 40 divisors (see below), whose sum is σ = 1527817392. Its totient is φ = 131425024.

The previous prime is 492844063. The next prime is 492844081. The reversal of 492844080 is 80448294.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (492844081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026519 + ... + 1026998.

Almost surely, 2492844080 is an apocalyptic number.

492844080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492844080 is an abundant number, since it is smaller than the sum of its proper divisors (1034973312).

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

492844080 is a wasteful number, since it uses less digits than its factorization.

492844080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053533 (or 2053527 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 492844080 is about 22200.0918917017. The cubic root of 492844080 is about 789.8958790298.

The spelling of 492844080 in words is "four hundred ninety-two million, eight hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2053517 4107034 6160551 8214068 10267585 12321102 16428136 20535170 24642204 30802755 32856272 41070340 49284408 61605510 82140680 98568816 123211020 164281360 246422040 492844080