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9985896 = 233383557
BaseRepresentation
bin100110000101…
…111101101000
3200210100002000
4212011331220
510024022041
6554011000
7150610254
oct46057550
920710060
109985896
115700608
123416a60
1320b831b
14147d264
15d23bb6
hex985f68

9985896 has 64 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3282624.

The previous prime is 9985891. The next prime is 9985901. The reversal of 9985896 is 6985899.

9985896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9985891) and next prime (9985901).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17650 + ... + 18206.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 29985896 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 9985896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

9985896 is an abundant number, since it is smaller than the sum of its proper divisors (18137304).

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

9985896 is a wasteful number, since it uses less digits than its factorization.

9985896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 9985896 is about 3160.0468350960. The cubic root of 9985896 is about 215.3421341911.

The spelling of 9985896 in words is "nine million, nine hundred eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 557 664 747 996 1114 1494 1671 1992 2228 2241 2988 3342 4456 4482 5013 5976 6684 8964 10026 13368 15039 17928 20052 30078 40104 46231 60156 92462 120312 138693 184924 277386 369848 416079 554772 832158 1109544 1248237 1664316 2496474 3328632 4992948 9985896