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4098388224 = 28372108907
BaseRepresentation
bin1111010001001000…
…0111000100000000
3101120121211200201110
43310102013010000
531343141410344
61514402403320
7203363503500
oct36422070400
911517750643
104098388224
111813484807
12964660540
1350411c6b8
142ac445a00
1518ec0c3b9
hexf4487100

4098388224 has 108 divisors (see below), whose sum is σ = 12688653264. Its totient is φ = 1170957312.

The previous prime is 4098388223. The next prime is 4098388243. The reversal of 4098388224 is 4228838904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4098388223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16822 + ... + 92085.

Almost surely, 24098388224 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 4098388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344326632).

4098388224 is an abundant number, since it is smaller than the sum of its proper divisors (8590265040).

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

4098388224 is a wasteful number, since it uses less digits than its factorization.

4098388224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108940 (or 108919 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4098388224 is about 64018.6552810976. The cubic root of 4098388224 is about 1600.3109062486.

The spelling of 4098388224 in words is "four billion, ninety-eight million, three hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 108907 217814 326721 435628 653442 762349 871256 1306884 1524698 1742512 2287047 2613768 3049396 3485024 4574094 5227536 5336443 6098792 6970048 9148188 10455072 10672886 12197584 13940096 16009329 18296376 20910144 21345772 24395168 27880192 32018658 36592752 41820288 42691544 48790336 64037316 73185504 83640576 85383088 97580672 128074632 146371008 170766176 195161344 256149264 292742016 341532352 512298528 585484032 683064704 1024597056 1366129408 2049194112 4098388224