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9897264 = 24321317311
BaseRepresentation
bin100101110000…
…010100110000
3200121211111100
4211300110300
510013203024
6552044400
7150060666
oct45602460
920554440
109897264
11564aa63
123393700
132086b90
141458c36
15d077c9
hex970530

9897264 has 120 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 2856960.

The previous prime is 9897263. The next prime is 9897287. The reversal of 9897264 is 4627989.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9897263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31669 + ... + 31979.

Almost surely, 29897264 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 9897264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

9897264 is an abundant number, since it is smaller than the sum of its proper divisors (21788208).

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

9897264 is a wasteful number, since it uses less digits than its factorization.

9897264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9897264 is about 3145.9917355263. The cubic root of 9897264 is about 214.7031345440.

The spelling of 9897264 in words is "nine million, eight hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 311 312 408 442 468 612 622 624 663 816 884 933 936 1224 1244 1326 1768 1866 1872 1989 2448 2488 2652 2799 3536 3732 3978 4043 4976 5287 5304 5598 7464 7956 8086 10574 10608 11196 12129 14928 15861 15912 16172 21148 22392 24258 31722 31824 32344 36387 42296 44784 47583 48516 63444 64688 68731 72774 84592 95166 97032 126888 137462 145548 190332 194064 206193 253776 274924 291096 380664 412386 549848 582192 618579 761328 824772 1099696 1237158 1649544 2474316 3299088 4948632 9897264