Search a number
-
+
9941256 = 23321321943
BaseRepresentation
bin100101111011…
…000100001000
3200201001211200
4211323010020
510021110011
6553024200
7150333153
oct45730410
920631750
109941256
115680016
1233b5060
1320a0c00
14146ac9a
15d15856
hex97b108

9941256 has 144 divisors (see below), whose sum is σ = 31402800. Its totient is φ = 2830464.

The previous prime is 9941249. The next prime is 9941257. The reversal of 9941256 is 6521499.

9941256 = T283 + T284 + ... + T434.

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

Its product of digits (19440) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 9941256.

It is not an unprimeable number, because it can be changed into a prime (9941257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231171 + ... + 231213.

It is an arithmetic number, because the mean of its divisors is an integer number (218075).

Almost surely, 29941256 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 9941256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701400).

9941256 is an abundant number, since it is smaller than the sum of its proper divisors (21461544).

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

9941256 is a wasteful number, since it uses less digits than its factorization.

9941256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9941256 is about 3152.9757372996. The cubic root of 9941256 is about 215.0207731866.

The spelling of 9941256 in words is "nine million, nine hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 43 52 57 72 76 78 86 104 114 117 129 152 156 169 171 172 228 234 247 258 312 338 342 344 387 456 468 494 507 516 559 676 684 741 774 817 936 988 1014 1032 1118 1352 1368 1482 1521 1548 1634 1677 1976 2028 2223 2236 2451 2964 3042 3096 3211 3268 3354 4056 4446 4472 4902 5031 5928 6084 6422 6536 6708 7267 7353 8892 9633 9804 10062 10621 12168 12844 13416 14534 14706 17784 19266 19608 20124 21242 21801 25688 28899 29068 29412 31863 38532 40248 42484 43602 57798 58136 58824 63726 65403 77064 84968 87204 95589 115596 127452 130806 138073 174408 191178 231192 254904 261612 276146 382356 414219 523224 552292 764712 828438 1104584 1242657 1656876 2485314 3313752 4970628 9941256