Search a number
-
+
9899552 = 251353449
BaseRepresentation
bin100101110000…
…111000100000
3200121221122002
4211300320200
510013241202
6552103132
7150100445
oct45607040
920557562
109899552
115651753
123394aa8
132087c30
1414599cc
15d08302
hex970e20

9899552 has 48 divisors (see below), whose sum is σ = 21432600. Its totient is φ = 4472832.

The previous prime is 9899531. The next prime is 9899567. The reversal of 9899552 is 2559989.

It can be written as a sum of positive squares in 4 ways, for example, as 8271376 + 1628176 = 2876^2 + 1276^2 .

It is a super-2 number, since 2×98995522 = 196002259601408, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 9899497 and 9899506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21824 + ... + 22272.

Almost surely, 29899552 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 9899552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716300).

9899552 is an abundant number, since it is smaller than the sum of its proper divisors (11533048).

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

9899552 is a wasteful number, since it uses less digits than its factorization.

9899552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 291600, while the sum is 47.

The square root of 9899552 is about 3146.3553518317. The cubic root of 9899552 is about 214.7196779350.

The spelling of 9899552 in words is "nine million, eight hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 449 689 848 898 1378 1696 1796 2756 3592 5512 5837 7184 11024 11674 14368 22048 23348 23797 46696 47594 93392 95188 186784 190376 309361 380752 618722 761504 1237444 2474888 4949776 9899552