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493240512 = 26316715383
BaseRepresentation
bin11101011001100…
…100000011000000
31021101010012210010
4131121210003000
52002232144022
6120535504520
715136321662
oct3531440300
91241105703
10493240512
1123346a996
12119228140
137b2594bb
1449716532
152d48050c
hex1d6640c0

493240512 has 56 divisors (see below), whose sum is σ = 1312932096. Its totient is φ = 163418368.

The previous prime is 493240493. The next prime is 493240519. The reversal of 493240512 is 215042394.

It is a self number, because there is not a number n which added to its sum of digits gives 493240512.

It is not an unprimeable number, because it can be changed into a prime (493240519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24373 + ... + 39755.

It is an arithmetic number, because the mean of its divisors is an integer number (23445216).

Almost surely, 2493240512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656466048).

493240512 is an abundant number, since it is smaller than the sum of its proper divisors (819691584).

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

493240512 is a wasteful number, since it uses less digits than its factorization.

493240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 493240512 is about 22209.0187086238. The cubic root of 493240512 is about 790.1076133914.

The spelling of 493240512 in words is "four hundred ninety-three million, two hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 15383 16032 30766 32064 46149 61532 92298 123064 184596 246128 369192 492256 738384 984512 1476768 2568961 2953536 5137922 7706883 10275844 15413766 20551688 30827532 41103376 61655064 82206752 123310128 164413504 246620256 493240512