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493929240 = 23357588011
BaseRepresentation
bin11101011100001…
…100001100011000
31021102102012112120
4131130030030120
52002421213430
6121002341240
715145220640
oct3534141430
91242365476
10493929240
112338a0392
121194ba820
137b43ab2c
1449855520
152d569610
hex1d70c318

493929240 has 64 divisors (see below), whose sum is σ = 1693474560. Its totient is φ = 112897920.

The previous prime is 493929181. The next prime is 493929253. The reversal of 493929240 is 42929394.

It is a super-4 number, since 4×4939292404 (a number of 36 digits) contains 4444 as substring.

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 = 493929192 and 493929201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 293166 + ... + 294845.

It is an arithmetic number, because the mean of its divisors is an integer number (26460540).

Almost surely, 2493929240 is an apocalyptic number.

493929240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493929240 is an abundant number, since it is smaller than the sum of its proper divisors (1199545320).

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

493929240 is a wasteful number, since it uses less digits than its factorization.

493929240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588032 (or 588028 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 493929240 is about 22224.5188924305. The cubic root of 493929240 is about 790.4751934657.

The spelling of 493929240 in words is "four hundred ninety-three million, nine hundred twenty-nine thousand, two 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 588011 1176022 1764033 2352044 2940055 3528066 4116077 4704088 5880110 7056132 8232154 8820165 11760220 12348231 14112264 16464308 17640330 20580385 23520440 24696462 32928616 35280660 41160770 49392924 61741155 70561320 82321540 98785848 123482310 164643080 246964620 493929240