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498097152 = 21032721103
BaseRepresentation
bin11101101100000…
…101110000000000
31021201020221211200
4131230011300000
52010003102102
6121231541200
715225520200
oct3554056000
91251227750
10498097152
11236187843
1211a98a800
137c269c57
144a21c400
152dade51c
hex1db05c00

498097152 has 198 divisors, whose sum is σ = 1674577008. Its totient is φ = 142184448.

The previous prime is 498097139. The next prime is 498097157. The reversal of 498097152 is 251790894.

498097152 is a `hidden beast` number, since 498 + 0 + 9 + 7 + 152 = 666.

It is a super-2 number, since 2×4980971522 = 496201545661022208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 498097098 and 498097107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498097157) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 451033 + ... + 452135.

Almost surely, 2498097152 is an apocalyptic number.

498097152 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 498097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837288504).

498097152 is an abundant number, since it is smaller than the sum of its proper divisors (1176479856).

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

498097152 is a wasteful number, since it uses less digits than its factorization.

498097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 498097152 is about 22318.0902408786. The cubic root of 498097152 is about 792.6923850355.

The spelling of 498097152 in words is "four hundred ninety-eight million, ninety-seven thousand, one hundred fifty-two".