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498338984 = 23112131992
BaseRepresentation
bin11101101101000…
…000110010101000
31021201201020120102
4131231000302220
52010033321414
6121241044532
715230545223
oct3555006250
91251636512
10498338984
11236332500
1211aa86748
137c323050
144a2825ba
152db3aede
hex1db40ca8

498338984 has 72 divisors (see below), whose sum is σ = 1111641930. Its totient is φ = 208042560.

The previous prime is 498338959. The next prime is 498339013. The reversal of 498338984 is 489833894.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 479172100 + 19166884 = 21890^2 + 4378^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2504117 + ... + 2504315.

Almost surely, 2498338984 is an apocalyptic number.

498338984 is a gapful number since it is divisible by the number (44) 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 498338984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555820965).

498338984 is an abundant number, since it is smaller than the sum of its proper divisors (613302946).

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

498338984 is a wasteful number, since it uses less digits than its factorization.

498338984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 225 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 498338984 is about 22323.5074305092. The cubic root of 498338984 is about 792.8206514246.

The spelling of 498338984 in words is "four hundred ninety-eight million, three hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 199 242 286 398 484 572 796 968 1144 1573 1592 2189 2587 3146 4378 5174 6292 8756 10348 12584 17512 20696 24079 28457 39601 48158 56914 79202 96316 113828 158404 192632 227656 313027 316808 435611 514813 626054 871222 1029626 1252108 1742444 2059252 2504216 3484888 4118504 4791721 5662943 9583442 11325886 19166884 22651772 38333768 45303544 62292373 124584746 249169492 498338984