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5471664 = 2431143241
BaseRepresentation
bin10100110111110110110000
3101021222201020
4110313312300
52400043124
6313135440
764336242
oct24676660
911258636
105471664
1130a7a40
1219ba580
131197693
14a26092
15731379
hex537db0

5471664 has 80 divisors (see below), whose sum is σ = 15844224. Its totient is φ = 1612800.

The previous prime is 5471663. The next prime is 5471681. The reversal of 5471664 is 4661745.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5471663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22584 + ... + 22824.

Almost surely, 25471664 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 5471664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922112).

5471664 is an abundant number, since it is smaller than the sum of its proper divisors (10372560).

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

5471664 is a wasteful number, since it uses less digits than its factorization.

5471664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 5471664 is about 2339.1588231670. The cubic root of 5471664 is about 176.2137554363.

It can be divided in two parts, 547 and 1664, that added together give a triangular number (2211 = T66).

The spelling of 5471664 in words is "five million, four hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 241 258 264 344 473 482 516 528 688 723 946 964 1032 1419 1446 1892 1928 2064 2651 2838 2892 3784 3856 5302 5676 5784 7568 7953 10363 10604 11352 11568 15906 20726 21208 22704 31089 31812 41452 42416 62178 63624 82904 113993 124356 127248 165808 227986 248712 341979 455972 497424 683958 911944 1367916 1823888 2735832 5471664