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2953216 = 2127103
BaseRepresentation
bin1011010001000000000000
312120001001101
423101000000
51224000331
6143144144
734046650
oct13210000
95501041
102953216
111737882
12ba5054
137c5286
1456c360
153d5061
hex2d1000

2953216 has 52 divisors (see below), whose sum is σ = 6814912. Its totient is φ = 1253376.

The previous prime is 2953207. The next prime is 2953219. The reversal of 2953216 is 6123592.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28621 + ... + 28723.

It is an arithmetic number, because the mean of its divisors is an integer number (131056).

22953216 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 2953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407456).

2953216 is an abundant number, since it is smaller than the sum of its proper divisors (3861696).

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

2953216 is an equidigital number, since it uses as much as digits as its factorization.

2953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 2953216 is about 1718.4923625085. The cubic root of 2953216 is about 143.4713123583.

The spelling of 2953216 in words is "two million, nine hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1024 1442 1648 1792 2048 2884 3296 3584 4096 5768 6592 7168 11536 13184 14336 23072 26368 28672 46144 52736 92288 105472 184576 210944 369152 421888 738304 1476608 2953216