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4401312 = 253192127
BaseRepresentation
bin10000110010100010100000
322021121110120
4100302202200
52111320222
6234200240
752260546
oct20624240
98247416
104401312
112536853
121583080
13bb1436
14827d96
155be15c
hex4328a0

4401312 has 72 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 1378944.

The previous prime is 4401289. The next prime is 4401329. The reversal of 4401312 is 2131044.

It is a junction number, because it is equal to n+sod(n) for n = 4401291 and 4401300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34593 + ... + 34719.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 24401312 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 4401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

4401312 is an abundant number, since it is smaller than the sum of its proper divisors (7888224).

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

4401312 is a wasteful number, since it uses less digits than its factorization.

4401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4401312 is about 2097.9304087600. The cubic root of 4401312 is about 163.8805396153.

Adding to 4401312 its reverse (2131044), we get a palindrome (6532356).

The spelling of 4401312 in words is "four million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 127 152 228 254 304 361 381 456 508 608 722 762 912 1016 1083 1444 1524 1824 2032 2166 2413 2888 3048 4064 4332 4826 5776 6096 7239 8664 9652 11552 12192 14478 17328 19304 28956 34656 38608 45847 57912 77216 91694 115824 137541 183388 231648 275082 366776 550164 733552 1100328 1467104 2200656 4401312