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16485664 = 2513231723
BaseRepresentation
bin111110111000…
…110100100000
31011000120002011
4332320310200
513210020124
61345202304
7260061106
oct76706440
934016064
1016485664
11933aa18
125630394
133552940
142291c76
1516a9994
hexfb8d20

16485664 has 48 divisors (see below), whose sum is σ = 36493632. Its totient is φ = 7273728.

The previous prime is 16485653. The next prime is 16485697. The reversal of 16485664 is 46658461.

It is a happy number.

16485664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8707 + ... + 10429.

It is an arithmetic number, because the mean of its divisors is an integer number (760284).

Almost surely, 216485664 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 16485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246816).

16485664 is an abundant number, since it is smaller than the sum of its proper divisors (20007968).

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

16485664 is a wasteful number, since it uses less digits than its factorization.

16485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 16485664 is about 4060.2541792356. The cubic root of 16485664 is about 254.5084160085.

The spelling of 16485664 in words is "sixteen million, four hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1723 2392 3446 4784 6892 9568 13784 22399 27568 39629 44798 55136 79258 89596 158516 179192 317032 358384 515177 634064 716768 1030354 1268128 2060708 4121416 8242832 16485664