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4401216 = 2635283
BaseRepresentation
bin10000110010100001000000
322021121100000
4100302201000
52111314331
6234200000
752260351
oct20624100
98247300
104401216
112536776
121583000
13bb1391
14827d28
155be0e6
hex432840

4401216 has 84 divisors (see below), whose sum is σ = 13128752. Its totient is φ = 1461888.

The previous prime is 4401209. The next prime is 4401233. The reversal of 4401216 is 6121044.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15411 + ... + 15693.

Almost surely, 24401216 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 4401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564376).

4401216 is an abundant number, since it is smaller than the sum of its proper divisors (8727536).

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

4401216 is an equidigital number, since it uses as much as digits as its factorization.

4401216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

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

The square root of 4401216 is about 2097.9075289440. The cubic root of 4401216 is about 163.8793481035.

The spelling of 4401216 in words is "four million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 283 288 324 432 486 566 576 648 849 864 972 1132 1296 1698 1728 1944 2264 2547 2592 3396 3888 4528 5094 5184 6792 7641 7776 9056 10188 13584 15282 15552 18112 20376 22923 27168 30564 40752 45846 54336 61128 68769 81504 91692 122256 137538 163008 183384 244512 275076 366768 489024 550152 733536 1100304 1467072 2200608 4401216