Search a number
-
+
9026976 = 2537219101
BaseRepresentation
bin100010011011…
…110110100000
3121222121200110
4202123312200
54302330401
6521251320
7136504500
oct42336640
917877613
109026976
115106112
123033b40
131b40a0a
1412ada00
15bd49d6
hex89bda0

9026976 has 144 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 2419200.

The previous prime is 9026959. The next prime is 9026987. The reversal of 9026976 is 6796209.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 89326 + ... + 89426.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 29026976 is an apocalyptic number.

9026976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9026976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

9026976 is an abundant number, since it is smaller than the sum of its proper divisors (20275584).

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

9026976 is a wasteful number, since it uses less digits than its factorization.

9026976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 9026976 is about 3004.4926360369. The cubic root of 9026976 is about 208.2159984975.

The spelling of 9026976 in words is "nine million, twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 101 112 114 133 147 152 168 196 202 224 228 266 294 303 304 336 392 399 404 456 532 588 606 608 672 707 784 798 808 912 931 1064 1176 1212 1414 1568 1596 1616 1824 1862 1919 2121 2128 2352 2424 2793 2828 3192 3232 3724 3838 4242 4256 4704 4848 4949 5586 5656 5757 6384 7448 7676 8484 9696 9898 11172 11312 11514 12768 13433 14847 14896 15352 16968 19796 22344 22624 23028 26866 29694 29792 30704 33936 39592 40299 44688 46056 53732 59388 61408 67872 79184 80598 89376 92112 94031 107464 118776 158368 161196 184224 188062 214928 237552 282093 322392 376124 429856 475104 564186 644784 752248 1128372 1289568 1504496 2256744 3008992 4513488 9026976