Search a number
-
+
9951424 = 26797229
BaseRepresentation
bin100101111101…
…100011000000
3200201120210021
4211331203000
510021421144
6553143224
7150404620
oct45754300
920646707
109951424
11568771a
1233bab14
1320a5722
141470880
15d18884
hex97d8c0

9951424 has 56 divisors (see below), whose sum is σ = 22900640. Its totient is φ = 4202496.

The previous prime is 9951419. The next prime is 9951449. The reversal of 9951424 is 4241599.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 9951424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43342 + ... + 43570.

It is an arithmetic number, because the mean of its divisors is an integer number (408940).

Almost surely, 29951424 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 9951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450320).

9951424 is an abundant number, since it is smaller than the sum of its proper divisors (12949216).

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

9951424 is a wasteful number, since it uses less digits than its factorization.

9951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 9951424 is about 3154.5877702166. The cubic root of 9951424 is about 215.0940565573.

The spelling of 9951424 in words is "nine million, nine hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 229 388 448 458 679 776 916 1358 1552 1603 1832 2716 3104 3206 3664 5432 6208 6412 7328 10864 12824 14656 21728 22213 25648 43456 44426 51296 88852 102592 155491 177704 310982 355408 621964 710816 1243928 1421632 2487856 4975712 9951424