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8428998248 = 2311296749297
BaseRepresentation
bin1111101100110100…
…00100111001101000
3210202102122110212022
413312122010321220
5114230310420443
63512222404012
7415610205626
oct76632047150
923672573768
108428998248
113635a4a160
121772a30608
13a44398738
1459d65a516
15344edae68
hex1f6684e68

8428998248 has 64 divisors (see below), whose sum is σ = 18102225600. Its totient is φ = 3643960320.

The previous prime is 8428998203. The next prime is 8428998269.

8428998248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84289982482 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 146336 + ... + 195632.

It is an arithmetic number, because the mean of its divisors is an integer number (282847275).

Almost surely, 28428998248 is an apocalyptic number.

8428998248 is a gapful number since it is divisible by the number (88) 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 8428998248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051112800).

8428998248 is an abundant number, since it is smaller than the sum of its proper divisors (9673227352).

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

8428998248 is a wasteful number, since it uses less digits than its factorization.

8428998248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49410 (or 49406 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 62.

The square root of 8428998248 is about 91809.5760147056. The cubic root of 8428998248 is about 2035.1292106460.

The spelling of 8428998248 in words is "eight billion, four hundred twenty-eight million, nine hundred ninety-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 67 88 116 134 232 268 319 536 638 737 1276 1474 1943 2552 2948 3886 5896 7772 15544 21373 42746 49297 85492 98594 170984 197188 394376 542267 1084534 1429613 2169068 2859226 3302899 4338136 5718452 6605798 11436904 13211596 15725743 26423192 31451486 36331889 62902972 72663778 95784071 125805944 145327556 191568142 290655112 383136284 766272568 1053624781 2107249562 4214499124 8428998248