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493123933 = 23411035077
BaseRepresentation
bin11101011001000…
…111100101011101
31021100220021212101
4131121013211131
52002214431213
6120533205101
715135325051
oct3531074535
91240807771
10493123933
112333a0345
12119190791
137b218413
14496c5c61
152d45abdd
hex1d64795d

493123933 has 16 divisors (see below), whose sum is σ = 532336896. Its totient is φ = 455621760.

The previous prime is 493123921. The next prime is 493123973. The reversal of 493123933 is 339321394.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-493123933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 493123892 and 493123901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493123903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94591 + ... + 99667.

It is an arithmetic number, because the mean of its divisors is an integer number (33271056).

Almost surely, 2493123933 is an apocalyptic number.

It is an amenable number.

493123933 is a deficient number, since it is larger than the sum of its proper divisors (39212963).

493123933 is a wasteful number, since it uses less digits than its factorization.

493123933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244.

The product of its digits is 52488, while the sum is 37.

The square root of 493123933 is about 22206.3939666034. The cubic root of 493123933 is about 790.0453603181.

The spelling of 493123933 in words is "four hundred ninety-three million, one hundred twenty-three thousand, nine hundred thirty-three".

Divisors: 1 23 41 103 943 2369 4223 5077 97129 116771 208157 522931 4787611 12027413 21440171 493123933