Search a number
-
+
493727640 = 23357587771
BaseRepresentation
bin11101011011011…
…010111110011000
31021102000221222220
4131123122332120
52002343241030
6120554144040
715143421120
oct3533327630
91242027886
10493727640
1123377297a
12119422020
137b39a143
1449801c80
152d529a10
hex1d6daf98

493727640 has 64 divisors (see below), whose sum is σ = 1692783360. Its totient is φ = 112851840.

The previous prime is 493727609. The next prime is 493727659. The reversal of 493727640 is 46727394.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 493727592 and 493727601.

It is a congruent number.

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, 293046 + ... + 294725.

It is an arithmetic number, because the mean of its divisors is an integer number (26449740).

Almost surely, 2493727640 is an apocalyptic number.

493727640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493727640 is an abundant number, since it is smaller than the sum of its proper divisors (1199055720).

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

493727640 is a wasteful number, since it uses less digits than its factorization.

493727640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587792 (or 587788 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 493727640 is about 22219.9828982832. The cubic root of 493727640 is about 790.3676331971.

The spelling of 493727640 in words is "four hundred ninety-three million, seven hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 587771 1175542 1763313 2351084 2938855 3526626 4114397 4702168 5877710 7053252 8228794 8816565 11755420 12343191 14106504 16457588 17633130 20571985 23510840 24686382 32915176 35266260 41143970 49372764 61715955 70532520 82287940 98745528 123431910 164575880 246863820 493727640