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9898416 = 2433112083
BaseRepresentation
bin100101110000…
…100110110000
3200121220002000
4211300212300
510013222131
6552054000
7150064233
oct45604660
920556060
109898416
115650910
123394300
132087568
14145941a
15d07ce6
hex9709b0

9898416 has 80 divisors (see below), whose sum is σ = 31009920. Its totient is φ = 2998080.

The previous prime is 9898397. The next prime is 9898423. The reversal of 9898416 is 6148989.

It is a super-4 number, since 4×98984164 (a number of 29 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (387624).

Almost surely, 29898416 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 9898416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504960).

9898416 is an abundant number, since it is smaller than the sum of its proper divisors (21111504).

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

9898416 is a wasteful number, since it uses less digits than its factorization.

9898416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2099 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9898416 is about 3146.1748203175. The cubic root of 9898416 is about 214.7114644022.

The spelling of 9898416 in words is "nine million, eight hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2083 2376 4166 4752 6249 8332 12498 16664 18747 22913 24996 33328 37494 45826 49992 56241 68739 74988 91652 99984 112482 137478 149976 183304 206217 224964 274956 299952 366608 412434 449928 549912 618651 824868 899856 1099824 1237302 1649736 2474604 3299472 4949208 9898416