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493194240 = 210325711139
BaseRepresentation
bin11101011001011…
…000110000000000
31021101000212022100
4131121120300000
52002224203430
6120534510400
715136040040
oct3531306000
91241025270
10493194240
11233439150
12119205400
137b241416
1449703720
152d471960
hex1d658c00

493194240 has 528 divisors, whose sum is σ = 2145911040. Its totient is φ = 101744640.

The previous prime is 493194239. The next prime is 493194277. The reversal of 493194240 is 42491394.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a junction number, because it is equal to n+sod(n) for n = 493194195 and 493194204.

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 47 ways as a sum of consecutive naturals, for example, 3548091 + ... + 3548229.

Almost surely, 2493194240 is an apocalyptic number.

493194240 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 493194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072955520).

493194240 is an abundant number, since it is smaller than the sum of its proper divisors (1652716800).

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

493194240 is a wasteful number, since it uses less digits than its factorization.

493194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 493194240 is about 22207.9769452330. The cubic root of 493194240 is about 790.0829053622.

The spelling of 493194240 in words is "four hundred ninety-three million, one hundred ninety-four thousand, two hundred forty".