Search a number
-
+
497145024 = 26323723327
BaseRepresentation
bin11101101000011…
…101010011000000
31021122110120202200
4131220131103000
52004232120044
6121155313200
715214443255
oct3550352300
91248416680
10497145024
11235697462
1211a5ab800
137bcc576c
144a05142c
152d9a2369
hex1da1d4c0

497145024 has 84 divisors (see below), whose sum is σ = 1463552064. Its totient is φ = 161229312.

The previous prime is 497144983. The next prime is 497145029. The reversal of 497145024 is 420541794.

It is a happy number.

497145024 is a `hidden beast` number, since 497 + 145 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 497145024.

It is not an unprimeable number, because it can be changed into a prime (497145029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9649 + ... + 32975.

Almost surely, 2497145024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731776032).

497145024 is an abundant number, since it is smaller than the sum of its proper divisors (966407040).

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

497145024 is a wasteful number, since it uses less digits than its factorization.

497145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23382 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 497145024 is about 22296.7491800935. The cubic root of 497145024 is about 792.1869775868.

The spelling of 497145024 in words is "four hundred ninety-seven million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 23327 46654 69981 93308 139962 186616 209943 279924 373232 419886 559848 746464 839772 863099 1119696 1492928 1679544 1726198 2239392 2589297 3359088 3452396 4478784 5178594 6718176 6904792 7767891 10357188 13436352 13809584 15535782 20714376 27619168 31071564 41428752 55238336 62143128 82857504 124286256 165715008 248572512 497145024