Search a number
-
+
493826940 = 223252743483
BaseRepresentation
bin11101011011110…
…011001101111100
31021102020000012200
4131123303031330
52002404430230
6121000231500
715144313455
oct3533631574
91242200180
10493826940
11233830542
1211946b590
137b4033b9
144982a12c
152d549160
hex1d6f337c

493826940 has 36 divisors (see below), whose sum is σ = 1497942264. Its totient is φ = 131687136.

The previous prime is 493826933. The next prime is 493826959. The reversal of 493826940 is 49628394.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371562 + ... + 1371921.

Almost surely, 2493826940 is an apocalyptic number.

It is an amenable number.

493826940 is an abundant number, since it is smaller than the sum of its proper divisors (1004115324).

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

493826940 is a wasteful number, since it uses less digits than its factorization.

493826940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743498 (or 2743493 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 493826940 is about 22222.2172611106. The cubic root of 493826940 is about 790.4206166902.

It can be divided in two parts, 4938 and 26940, that added together give a triangular number (31878 = T252).

The spelling of 493826940 in words is "four hundred ninety-three million, eight hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2743483 5486966 8230449 10973932 13717415 16460898 24691347 27434830 32921796 41152245 49382694 54869660 82304490 98765388 123456735 164608980 246913470 493826940