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2996928 = 263211243
BaseRepresentation
bin1011011011101011000000
312122021000100
423123223000
51231400203
6144122400
734321254
oct13335300
95567010
102996928
111767700
121006400
1380c13c
14580264
153e2ea3
hex2dbac0

2996928 has 126 divisors (see below), whose sum is σ = 9661652. Its totient is φ = 887040.

The previous prime is 2996909. The next prime is 2996933. The reversal of 2996928 is 8296992.

2996928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 69675 + ... + 69717.

22996928 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 2996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830826).

2996928 is an abundant number, since it is smaller than the sum of its proper divisors (6664724).

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

2996928 is a wasteful number, since it uses less digits than its factorization.

2996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 2996928 is about 1731.1637704157. The cubic root of 2996928 is about 144.1757114324.

It can be divided in two parts, 299 and 6928, that added together give a palindrome (7227).

The spelling of 2996928 in words is "two million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 43 44 48 64 66 72 86 88 96 99 121 129 132 144 172 176 192 198 242 258 264 288 344 352 363 387 396 473 484 516 528 576 688 704 726 774 792 946 968 1032 1056 1089 1376 1419 1452 1548 1584 1892 1936 2064 2112 2178 2752 2838 2904 3096 3168 3784 3872 4128 4257 4356 5203 5676 5808 6192 6336 7568 7744 8256 8514 8712 10406 11352 11616 12384 15136 15609 17028 17424 20812 22704 23232 24768 30272 31218 34056 34848 41624 45408 46827 62436 68112 69696 83248 90816 93654 124872 136224 166496 187308 249744 272448 332992 374616 499488 749232 998976 1498464 2996928