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498133146 = 237193716871
BaseRepresentation
bin11101101100001…
…110100010011010
31021201022210012210
4131230032202122
52010010230041
6121232415550
715226030140
oct3554164232
91251283183
10498133146
11236201895
1211a9a75b6
137c280454
144a22b590
152daea016
hex1db0e89a

498133146 has 64 divisors (see below), whose sum is σ = 1230981120. Its totient is φ = 131181120.

The previous prime is 498133123. The next prime is 498133147. The reversal of 498133146 is 641331894.

It is a super-2 number, since 2×4981331462 = 496273262287714632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (498133147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21091 + ... + 37961.

It is an arithmetic number, because the mean of its divisors is an integer number (19234080).

Almost surely, 2498133146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498133146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615490560).

498133146 is an abundant number, since it is smaller than the sum of its proper divisors (732847974).

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

498133146 is a wasteful number, since it uses less digits than its factorization.

498133146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939.

The product of its digits is 62208, while the sum is 39.

The square root of 498133146 is about 22318.8966125120. The cubic root of 498133146 is about 792.7114786884.

The spelling of 498133146 in words is "four hundred ninety-eight million, one hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 399 518 703 777 798 1406 1554 2109 4218 4921 9842 14763 16871 29526 33742 50613 101226 118097 236194 320549 354291 624227 641098 708582 961647 1248454 1872681 1923294 2243843 3745362 4369589 4487686 6731529 8739178 11860313 13108767 13463058 23720626 26217534 35580939 71161878 83022191 166044382 249066573 498133146