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498419964 = 223272594789
BaseRepresentation
bin11101101101010…
…100100011111100
31021201212100122200
4131231110203330
52010043414324
6121242511500
715231333300
oct3555244374
91251770580
10498419964
11236388329
1211ab05590
137c350b73
144a2a3d00
152db54ec9
hex1db548fc

498419964 has 108 divisors (see below), whose sum is σ = 1490743800. Its totient is φ = 139962816.

The previous prime is 498419947. The next prime is 498419981. The reversal of 498419964 is 469914894.

It is a happy number.

498419964 is a `hidden beast` number, since 498 + 4 + 1 + 99 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (498419947) and next prime (498419981).

It is a super-2 number, since 2×4984199642 = 496844921027522592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 498419964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101682 + ... + 106470.

Almost surely, 2498419964 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 498419964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745371900).

498419964 is an abundant number, since it is smaller than the sum of its proper divisors (992323836).

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

498419964 is a wasteful number, since it uses less digits than its factorization.

498419964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4860 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 498419964 is about 22325.3211399075. The cubic root of 498419964 is about 792.8635935056.

The spelling of 498419964 in words is "four hundred ninety-eight million, four hundred nineteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4789 4956 5782 7434 8673 9578 11564 14367 14868 17346 19156 26019 28734 33523 34692 43101 52038 57468 67046 86202 100569 104076 134092 172404 201138 234661 282551 301707 402276 469322 565102 603414 703983 847653 938644 1130204 1206828 1407966 1695306 1977857 2111949 2542959 2815932 3390612 3955714 4223898 5085918 5933571 7911428 8447796 10171836 11867142 13844999 17800713 23734284 27689998 35601426 41534997 55379996 71202852 83069994 124604991 166139988 249209982 498419964