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493941672 = 23337326681
BaseRepresentation
bin11101011100001…
…111001110101000
31021102102211121000
4131130033032220
52002422113142
6121002515000
715145302120
oct3534171650
91242384530
10493941672
112338a9764
12119505a60
137b4436a3
1449859c80
152d56d14c
hex1d70f3a8

493941672 has 64 divisors (see below), whose sum is σ = 1568073600. Its totient is φ = 141125760.

The previous prime is 493941667. The next prime is 493941683. The reversal of 493941672 is 276149394.

It is a happy number.

493941672 is a `hidden beast` number, since 493 + 94 + 1 + 6 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161829 + ... + 164852.

It is an arithmetic number, because the mean of its divisors is an integer number (24501150).

Almost surely, 2493941672 is an apocalyptic number.

493941672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

493941672 is an abundant number, since it is smaller than the sum of its proper divisors (1074131928).

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

493941672 is a wasteful number, since it uses less digits than its factorization.

493941672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326703 (or 326693 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 493941672 is about 22224.7985817645. The cubic root of 493941672 is about 790.4818253908.

The spelling of 493941672 in words is "four hundred ninety-three million, nine hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 326681 653362 980043 1306724 1960086 2286767 2613448 2940129 3920172 4573534 5880258 6860301 7840344 8820387 9147068 11760516 13720602 17640774 18294136 20580903 23521032 27441204 35281548 41161806 54882408 61742709 70563096 82323612 123485418 164647224 246970836 493941672