Search a number
-
+
496980440 = 235111129501
BaseRepresentation
bin11101100111110…
…101000111011000
31021122011012222222
4131213311013120
52004211333230
6121152003212
715213156365
oct3547650730
91248135888
10496980440
11235594840
1211a530508
137bc68888
144a00b46c
152d96d6e5
hex1d9f51d8

496980440 has 32 divisors (see below), whose sum is σ = 1219862160. Its totient is φ = 180720000.

The previous prime is 496980403. The next prime is 496980443. The reversal of 496980440 is 44089694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 496980391 and 496980400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496980443) 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 7 ways as a sum of consecutive naturals, for example, 564311 + ... + 565190.

Almost surely, 2496980440 is an apocalyptic number.

496980440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496980440 is an abundant number, since it is smaller than the sum of its proper divisors (722881720).

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

496980440 is a wasteful number, since it uses less digits than its factorization.

496980440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129523 (or 1129519 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 496980440 is about 22293.0581123362. The cubic root of 496980440 is about 792.0995479061.

The spelling of 496980440 in words is "four hundred ninety-six million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1129501 2259002 4518004 5647505 9036008 11295010 12424511 22590020 24849022 45180040 49698044 62122555 99396088 124245110 248490220 496980440