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9896832 = 273211271
BaseRepresentation
bin100101110000…
…001110000000
3200121210220100
4211300032000
510013144312
6552042400
7150056511
oct45601600
920553810
109896832
11564a700
123393400
13208691a
141458a08
15d075dc
hex970380

9896832 has 144 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 2956800.

The previous prime is 9896807. The next prime is 9896833. The reversal of 9896832 is 2386989.

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 not an unprimeable number, because it can be changed into a prime (9896833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139357 + ... + 139427.

Almost surely, 29896832 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 9896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

9896832 is an abundant number, since it is smaller than the sum of its proper divisors (21847608).

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

9896832 is a wasteful number, since it uses less digits than its factorization.

9896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9896832 is about 3145.9230759826. The cubic root of 9896832 is about 214.7000106806.

The spelling of 9896832 in words is "nine million, eight hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 71 72 88 96 99 121 128 132 142 144 176 192 198 213 242 264 284 288 352 363 384 396 426 484 528 568 576 639 704 726 781 792 852 968 1056 1089 1136 1152 1278 1408 1452 1562 1584 1704 1936 2112 2178 2272 2343 2556 2904 3124 3168 3408 3872 4224 4356 4544 4686 5112 5808 6248 6336 6816 7029 7744 8591 8712 9088 9372 10224 11616 12496 12672 13632 14058 15488 17182 17424 18744 20448 23232 24992 25773 27264 28116 34364 34848 37488 40896 46464 49984 51546 56232 68728 69696 74976 77319 81792 99968 103092 112464 137456 139392 149952 154638 206184 224928 274912 299904 309276 412368 449856 549824 618552 824736 899712 1099648 1237104 1649472 2474208 3298944 4948416 9896832