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499582368 = 25322516911
BaseRepresentation
bin11101110001110…
…000010110100000
31021211001102011200
4131301300112200
52010343113433
6121323441200
715244244235
oct3561602640
91254042150
10499582368
1123700169a
1211b386200
137c669c8c
144a4c778c
152dcd4613
hex1dc705a0

499582368 has 72 divisors (see below), whose sum is σ = 1426553856. Its totient is φ = 165840000.

The previous prime is 499582367. The next prime is 499582373. The reversal of 499582368 is 863285994.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (499582361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68833 + ... + 75743.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2499582368 is an apocalyptic number.

499582368 is a gapful number since it is divisible by the number (48) 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 499582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

499582368 is an abundant number, since it is smaller than the sum of its proper divisors (926971488).

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

499582368 is a wasteful number, since it uses less digits than its factorization.

499582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7167 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 499582368 is about 22351.3392887317. The cubic root of 499582368 is about 793.4794812704.

It can be divided in two parts, 49958 and 2368, that added together give a triangular number (52326 = T323).

The spelling of 499582368 in words is "four hundred ninety-nine million, five hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6911 8032 9036 12048 13822 18072 20733 24096 27644 36144 41466 55288 62199 72288 82932 110576 124398 165864 221152 248796 331728 497592 663456 995184 1734661 1990368 3469322 5203983 6938644 10407966 13877288 15611949 20815932 27754576 31223898 41631864 55509152 62447796 83263728 124895592 166527456 249791184 499582368