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898936416 = 253272319387
BaseRepresentation
bin110101100101001…
…010111001100000
32022122111200221100
4311211022321200
53320111431131
6225111154400
731163555610
oct6545127140
92278450840
10898936416
11421476264
12211075a00
13114313551
1487560a40
1553dbb7e6
hex3594ae60

898936416 has 144 divisors (see below), whose sum is σ = 3048724224. Its totient is φ = 245659392.

The previous prime is 898936351. The next prime is 898936447. The reversal of 898936416 is 614639898.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36675 + ... + 56061.

It is an arithmetic number, because the mean of its divisors is an integer number (21171696).

Almost surely, 2898936416 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 898936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524362112).

898936416 is an abundant number, since it is smaller than the sum of its proper divisors (2149787808).

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

898936416 is a wasteful number, since it uses less digits than its factorization.

898936416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433 (or 19422 counting only the distinct ones).

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

The square root of 898936416 is about 29982.2683598156. The cubic root of 898936416 is about 965.1089091110.

The spelling of 898936416 in words is "eight hundred ninety-eight million, nine hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 19387 23184 38774 46368 58161 77548 116322 135709 155096 174483 232644 271418 310192 348966 407127 445901 465288 542836 620384 697932 814254 891802 930576 1085672 1221381 1337703 1395864 1628508 1783604 1861152 2171344 2442762 2675406 2791728 3121307 3257016 3567208 4013109 4342688 4885524 5350812 5583456 6242614 6514032 7134416 8026218 9363921 9771048 10701624 12485228 13028064 14268832 16052436 18727842 19542096 21403248 24970456 28091763 32104872 37455684 39084192 42806496 49940912 56183526 64209744 74911368 99881824 112367052 128419488 149822736 224734104 299645472 449468208 898936416