Search a number
-
+
8042976 = 253429107
BaseRepresentation
bin11110101011100111100000
3120010121220000
4132223213200
54024333401
6444220000
7125235624
oct36534740
916117800
108042976
1145a3897
12283a600
131887b76
1410d5184
15a8d186
hex7ab9e0

8042976 has 120 divisors (see below), whose sum is σ = 24698520. Its totient is φ = 2564352.

The previous prime is 8042959. The next prime is 8042977. The reversal of 8042976 is 6792408.

8042976 = T333 + T334 + ... + T439.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 8042976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75115 + ... + 75221.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 28042976 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 8042976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349260).

8042976 is an abundant number, since it is smaller than the sum of its proper divisors (16655544).

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

8042976 is a wasteful number, since it uses less digits than its factorization.

8042976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8042976 is about 2836.0141043373. The cubic root of 8042976 is about 200.3574939430.

The spelling of 8042976 in words is "eight million, forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 107 108 116 144 162 174 214 216 232 261 288 321 324 348 428 432 464 522 642 648 696 783 856 864 928 963 1044 1284 1296 1392 1566 1712 1926 2088 2349 2568 2592 2784 2889 3103 3132 3424 3852 4176 4698 5136 5778 6206 6264 7704 8352 8667 9309 9396 10272 11556 12412 12528 15408 17334 18618 18792 23112 24824 25056 27927 30816 34668 37236 37584 46224 49648 55854 69336 74472 75168 83781 92448 99296 111708 138672 148944 167562 223416 251343 277344 297888 335124 446832 502686 670248 893664 1005372 1340496 2010744 2680992 4021488 8042976