Search a number
-
+
497146272 = 25375912539
BaseRepresentation
bin11101101000011…
…101100110100000
31021122110122110220
4131220131212200
52004232140042
6121155323040
715214450020
oct3550354640
91248418426
10497146272
11235698397
1211a5b0480
137bcc61bc
144a051a80
152d9a28ec
hex1da1d9a0

497146272 has 96 divisors (see below), whose sum is σ = 1516838400. Its totient is φ = 139623168.

The previous prime is 497146271. The next prime is 497146277. The reversal of 497146272 is 272641794.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (497146271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33379 + ... + 45917.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2497146272 is an apocalyptic number.

497146272 is a gapful number since it is divisible by the number (42) 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 497146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

497146272 is an abundant number, since it is smaller than the sum of its proper divisors (1019692128).

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

497146272 is a wasteful number, since it uses less digits than its factorization.

497146272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12610 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 497146272 is about 22296.7771662184. Note that the first 3 decimals coincide. The cubic root of 497146272 is about 792.1876404709.

The spelling of 497146272 in words is "four hundred ninety-seven million, one hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 12539 13216 19824 25078 37617 39648 50156 75234 87773 100312 150468 175546 200624 263319 300936 351092 401248 526638 601872 702184 739801 1053276 1203744 1404368 1479602 2106552 2219403 2808736 2959204 4213104 4438806 5178607 5918408 8426208 8877612 10357214 11836816 15535821 17755224 20714428 23673632 31071642 35510448 41428856 62143284 71020896 82857712 124286568 165715424 248573136 497146272