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498733344 = 25325573109
BaseRepresentation
bin11101101110100…
…001000100100000
31021202110021112100
4131232201010200
52010133431334
6121253330400
715234110034
oct3556410440
91252407470
10498733344
1123658181a
1211b036a00
137c4306b5
144a3461c4
152dbb7c99
hex1dba1120

498733344 has 72 divisors (see below), whose sum is σ = 1421276220. Its totient is φ = 165892608.

The previous prime is 498733303. The next prime is 498733349. The reversal of 498733344 is 443337894.

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 82083600 = 20412^2 + 9060^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 498733344.

It is not an unprimeable number, because it can be changed into a prime (498733349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158862 + ... + 161970.

Almost surely, 2498733344 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 498733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710638110).

498733344 is an abundant number, since it is smaller than the sum of its proper divisors (922542876).

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

498733344 is a wasteful number, since it uses less digits than its factorization.

498733344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3671 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 498733344 is about 22332.3385251075. The cubic root of 498733344 is about 793.0297288631.

The spelling of 498733344 in words is "four hundred ninety-eight million, seven hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 557 1114 1671 2228 3109 3342 4456 5013 6218 6684 8912 9327 10026 12436 13368 17824 18654 20052 24872 26736 27981 37308 40104 49744 53472 55962 74616 80208 99488 111924 149232 160416 223848 298464 447696 895392 1731713 3463426 5195139 6926852 10390278 13853704 15585417 20780556 27707408 31170834 41561112 55414816 62341668 83122224 124683336 166244448 249366672 498733344