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4011216 = 2431171107
BaseRepresentation
bin1111010011010011010000
321112210100120
433103103100
52011324331
6221550240
746044336
oct17232320
97483316
104011216
11229a760
121415380
13aa5a01
14765b56
15543796
hex3d34d0

4011216 has 80 divisors (see below), whose sum is σ = 11570688. Its totient is φ = 1187200.

The previous prime is 4011209. The next prime is 4011221. The reversal of 4011216 is 6121104.

4011216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4011195 and 4011204.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37435 + ... + 37541.

Almost surely, 24011216 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 4011216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785344).

4011216 is an abundant number, since it is smaller than the sum of its proper divisors (7559472).

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

4011216 is a wasteful number, since it uses less digits than its factorization.

4011216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4011216 is about 2002.8020371470. The cubic root of 4011216 is about 158.8883358218. Note that the first 3 decimals are identical.

The spelling of 4011216 in words is "four million, eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 107 132 142 176 213 214 264 284 321 426 428 528 568 642 781 852 856 1136 1177 1284 1562 1704 1712 2343 2354 2568 3124 3408 3531 4686 4708 5136 6248 7062 7597 9372 9416 12496 14124 15194 18744 18832 22791 28248 30388 37488 45582 56496 60776 83567 91164 121552 167134 182328 250701 334268 364656 501402 668536 1002804 1337072 2005608 4011216