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9896544 = 253274909
BaseRepresentation
bin100101110000…
…001001100000
3200121210111200
4211300021200
510013142134
6552041200
7150055620
oct45601140
920553450
109896544
11564a469
123393200
132086758
141458880
15d07499
hex970260

9896544 has 72 divisors (see below), whose sum is σ = 32170320. Its totient is φ = 2827008.

The previous prime is 9896543. The next prime is 9896563. The reversal of 9896544 is 4456989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9896544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9896543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 4470.

It is an arithmetic number, because the mean of its divisors is an integer number (446810).

Almost surely, 29896544 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 9896544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085160).

9896544 is an abundant number, since it is smaller than the sum of its proper divisors (22273776).

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

9896544 is a wasteful number, since it uses less digits than its factorization.

9896544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4921 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 9896544 is about 3145.8773021210. The cubic root of 9896544 is about 214.6979280545.

It can be divided in two parts, 9896 and 544, that added together give a triangular number (10440 = T144).

The spelling of 9896544 in words is "nine million, eight hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4909 9818 14727 19636 29454 34363 39272 44181 58908 68726 78544 88362 103089 117816 137452 157088 176724 206178 235632 274904 309267 353448 412356 471264 549808 618534 706896 824712 1099616 1237068 1413792 1649424 2474136 3298848 4948272 9896544