Search a number
-
+
9952236 = 2232773541
BaseRepresentation
bin100101111101…
…101111101100
3200201121220100
4211331233230
510021432421
6553151100
7150410160
oct45755754
920647810
109952236
115688298
1233bb490
1320a5bc8
141470ca0
15d18c26
hex97dbec

9952236 has 72 divisors (see below), whose sum is σ = 29198624. Its totient is φ = 2799360.

The previous prime is 9952213. The next prime is 9952253. The reversal of 9952236 is 6322599.

9952236 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9952236.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18126 + ... + 18666.

Almost surely, 29952236 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 9952236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599312).

9952236 is an abundant number, since it is smaller than the sum of its proper divisors (19246388).

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

9952236 is a wasteful number, since it uses less digits than its factorization.

9952236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 9952236 is about 3154.7164690349. The cubic root of 9952236 is about 215.0999066958.

The spelling of 9952236 in words is "nine million, nine hundred fifty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 541 657 876 1022 1082 1314 1533 1623 2044 2164 2628 3066 3246 3787 4599 4869 6132 6492 7574 9198 9738 11361 15148 18396 19476 22722 34083 39493 45444 68166 78986 118479 136332 157972 236958 276451 355437 473916 552902 710874 829353 1105804 1421748 1658706 2488059 3317412 4976118 9952236