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2996448 = 2537413
BaseRepresentation
bin1011011011100011100000
312122020100120
423123203200
51231341243
6144120240
734320000
oct13334340
95566316
102996448
111767304
121006080
1380bb60
14580000
153e2c83
hex2db8e0

2996448 has 120 divisors (see below), whose sum is σ = 9881928. Its totient is φ = 790272.

The previous prime is 2996443. The next prime is 2996449. The reversal of 2996448 is 8446992.

2996448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 2 + 95 + 96 + 66 + 4 + 49 + 87 .

Its product of digits (124416) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996443) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 230490 + ... + 230502.

22996448 is an apocalyptic number.

2996448 is a gapful number since it is divisible by the number (28) 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 2996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940964).

2996448 is an abundant number, since it is smaller than the sum of its proper divisors (6885480).

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

2996448 is an equidigital number, since it uses as much as digits as its factorization.

2996448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2996448 is about 1731.0251298003. The cubic root of 2996448 is about 144.1680137682.

The spelling of 2996448 in words is "two million, nine hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 343 364 392 416 546 588 624 637 672 686 728 784 1029 1092 1176 1248 1274 1372 1456 1568 1911 2058 2184 2352 2401 2548 2744 2912 3822 4116 4368 4459 4704 4802 5096 5488 7203 7644 8232 8736 8918 9604 10192 10976 13377 14406 15288 16464 17836 19208 20384 26754 28812 30576 31213 32928 35672 38416 53508 57624 61152 62426 71344 76832 93639 107016 115248 124852 142688 187278 214032 230496 249704 374556 428064 499408 749112 998816 1498224 2996448