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493525080 = 233251678209
BaseRepresentation
bin11101011010101…
…001100001011000
31021101122200010200
4131122221201120
52002320300310
6120545542200
715141615426
oct3532514130
91241580120
10493525080
11233644774
12119344960
137b328b99
144978c116
152d4d99c0
hex1d6a9858

493525080 has 96 divisors (see below), whose sum is σ = 1613757600. Its totient is φ = 130802688.

The previous prime is 493525073. The next prime is 493525121. The reversal of 493525080 is 80525394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56016 + ... + 64224.

It is an arithmetic number, because the mean of its divisors is an integer number (16809975).

Almost surely, 2493525080 is an apocalyptic number.

493525080 is a gapful number since it is divisible by the number (40) 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 493525080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806878800).

493525080 is an abundant number, since it is smaller than the sum of its proper divisors (1120232520).

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

493525080 is a wasteful number, since it uses less digits than its factorization.

493525080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 493525080 is about 22215.4243713686. The cubic root of 493525080 is about 790.2595312438.

The spelling of 493525080 in words is "four hundred ninety-three million, five hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6680 7515 8209 10020 12024 15030 16418 20040 24627 30060 32836 41045 49254 60120 65672 73881 82090 98508 123135 147762 164180 197016 246270 295524 328360 369405 492540 591048 738810 985080 1370903 1477620 2741806 2955240 4112709 5483612 6854515 8225418 10967224 12338127 13709030 16450836 20563545 24676254 27418060 32901672 41127090 49352508 54836120 61690635 82254180 98705016 123381270 164508360 246762540 493525080