Search a number
-
+
16449664 = 277111669
BaseRepresentation
bin111110110000…
…000010000000
31010221201200211
4332300002000
513202342124
61344323504
7256551130
oct76600200
933851624
1016449664
119315970
125613594
13353c43a
142282ac0
15169de94
hexfb0080

16449664 has 64 divisors (see below), whose sum is σ = 40881600. Its totient is φ = 6405120.

The previous prime is 16449661. The next prime is 16449683. The reversal of 16449664 is 46694461.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (16449661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9022 + ... + 10690.

It is an arithmetic number, because the mean of its divisors is an integer number (638775).

Almost surely, 216449664 is an apocalyptic number.

16449664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440800).

16449664 is an abundant number, since it is smaller than the sum of its proper divisors (24431936).

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

16449664 is a wasteful number, since it uses less digits than its factorization.

16449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 16449664 is about 4055.8185363746. The cubic root of 16449664 is about 254.3230230035.

The spelling of 16449664 in words is "sixteen million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 1669 2464 3338 4928 6676 9856 11683 13352 18359 23366 26704 36718 46732 53408 73436 93464 106816 128513 146872 186928 213632 257026 293744 373856 514052 587488 747712 1028104 1174976 1495424 2056208 2349952 4112416 8224832 16449664