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4041216 = 2932877
BaseRepresentation
bin1111011010101000000000
321121022111200
433122220000
52013304331
6222341200
746230654
oct17325000
97538450
104041216
112310253
12142a800
13ab656a
14772a64
1554c5e6
hex3daa00

4041216 has 60 divisors (see below), whose sum is σ = 11676522. Its totient is φ = 1345536.

The previous prime is 4041211. The next prime is 4041217. The reversal of 4041216 is 6121404.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1218816 = 1680^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4041211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4170 + ... + 5046.

Almost surely, 24041216 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 4041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838261).

4041216 is an abundant number, since it is smaller than the sum of its proper divisors (7635306).

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

4041216 is an equidigital number, since it uses as much as digits as its factorization.

4041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4041216 is about 2010.2775927717. The cubic root of 4041216 is about 159.2834625449.

The spelling of 4041216 in words is "four million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 877 1152 1536 1754 2304 2631 3508 4608 5262 7016 7893 10524 14032 15786 21048 28064 31572 42096 56128 63144 84192 112256 126288 168384 224512 252576 336768 449024 505152 673536 1010304 1347072 2020608 4041216