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497152 = 29971
BaseRepresentation
bin1111001011000000000
3221020222001
41321120000
5111402102
614353344
74140265
oct1713000
9836861
10497152
1130a577
121bb854
13145396
14cd26c
159c487
hex79600

497152 has 20 divisors (see below), whose sum is σ = 994356. Its totient is φ = 248320.

The previous prime is 497141. The next prime is 497153. The reversal of 497152 is 251794.

It is a happy number.

It is a super-2 number, since 2×4971522 = 494320222208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 497152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497153) by changing a digit.

497152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27 + ... + 997.

497152 is a Friedman number, since it can be written as (971*4^5)/2, using all its digits and the basic arithmetic operations.

2497152 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 497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497178).

497152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

497152 is an frugal number, since it uses more digits than its factorization.

497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 973 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 497152 is about 705.0900651690. The cubic root of 497152 is about 79.2190682924.

The spelling of 497152 in words is "four hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 971 1942 3884 7768 15536 31072 62144 124288 248576 497152