Search a number
-
+
497197440 = 2735523139
BaseRepresentation
bin11101101000101…
…010000110000000
31021122120020200000
4131220222012000
52004240304230
6121200400000
715215052135
oct3550520600
91248506600
10497197440
11235722883
1211a616000
137c01358c
144a06658c
152d9b2b60
hex1da2a180

497197440 has 384 divisors, whose sum is σ = 1871251200. Its totient is φ = 125908992.

The previous prime is 497197439. The next prime is 497197469. The reversal of 497197440 is 44791794.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×4971974404 (a number of 36 digits) contains 4444 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576891 + ... + 3577029.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2497197440 is an apocalyptic number.

497197440 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 497197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

497197440 is an abundant number, since it is smaller than the sum of its proper divisors (1374053760).

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

497197440 is a wasteful number, since it uses less digits than its factorization.

497197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 497197440 is about 22297.9245670982. The cubic root of 497197440 is about 792.2148177618.

The spelling of 497197440 in words is "four hundred ninety-seven million, one hundred ninety-seven thousand, four hundred forty".