Search a number
-
+
9736896 = 263134783
BaseRepresentation
bin100101001001…
…001011000000
3200022200111210
4211021023000
54443040041
6544410120
7145522311
oct45111300
920280453
109736896
115550524
123316940
13202bba0
141416608
15cc5016
hex9492c0

9736896 has 112 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 2896896.

The previous prime is 9736891. The next prime is 9736897. The reversal of 9736896 is 6986379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9736891) 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, 117271 + ... + 117353.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 29736896 is an apocalyptic number.

9736896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

9736896 is an abundant number, since it is smaller than the sum of its proper divisors (18938688).

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

9736896 is a wasteful number, since it uses less digits than its factorization.

9736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 9736896 is about 3120.3999743623. The cubic root of 9736896 is about 213.5371836214.

The spelling of 9736896 in words is "nine million, seven hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 83 94 96 104 141 156 166 188 192 208 249 282 312 332 376 416 498 564 611 624 664 752 832 996 1079 1128 1222 1248 1328 1504 1833 1992 2158 2256 2444 2496 2656 3008 3237 3666 3901 3984 4316 4512 4888 5312 6474 7332 7802 7968 8632 9024 9776 11703 12948 14664 15604 15936 17264 19552 23406 25896 29328 31208 34528 39104 46812 50713 51792 58656 62416 69056 93624 101426 103584 117312 124832 152139 187248 202852 207168 249664 304278 374496 405704 608556 748992 811408 1217112 1622816 2434224 3245632 4868448 9736896