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493979904 = 2833117389
BaseRepresentation
bin11101011100011…
…000100100000000
31021102111210001000
4131130120210000
52002424324104
6121003412000
715145521435
oct3534304400
91242453030
10493979904
11233925460
12119524000
137b457c02
1449869b8c
152d579639
hex1d718900

493979904 has 288 divisors, whose sum is σ = 1633564800. Its totient is φ = 145981440.

The previous prime is 493979887. The next prime is 493979911. The reversal of 493979904 is 409979394.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4939799042 = 488032291111698432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5550292 + ... + 5550380.

It is an arithmetic number, because the mean of its divisors is an integer number (5672100).

Almost surely, 2493979904 is an apocalyptic number.

493979904 is a gapful number since it is divisible by the number (44) 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 493979904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816782400).

493979904 is an abundant number, since it is smaller than the sum of its proper divisors (1139584896).

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

493979904 is a wasteful number, since it uses less digits than its factorization.

493979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 493979904 is about 22225.6586854023. The cubic root of 493979904 is about 790.5022197836.

The spelling of 493979904 in words is "four hundred ninety-three million, nine hundred seventy-nine thousand, nine hundred four".