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5467284 = 2233233171
BaseRepresentation
bin10100110110110010010100
3101021202201000
4110312302110
52344423114
6313103300
764320414
oct24666224
911252630
105467284
1130a4719
1219b7b30
1311956a4
14a24644
1572ee09
hex536c94

5467284 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1663200.

The previous prime is 5467271. The next prime is 5467303. The reversal of 5467284 is 4827645.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76969 + ... + 77039.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25467284 is an apocalyptic number.

5467284 is a gapful number since it is divisible by the number (54) 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 5467284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5467284 is an abundant number, since it is smaller than the sum of its proper divisors (10015596).

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

5467284 is a wasteful number, since it uses less digits than its factorization.

5467284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5467284 is about 2338.2224017403. Note that the first 3 decimals coincide. The cubic root of 5467284 is about 176.1667239005.

It can be divided in two parts, 54672 and 84, that added together give a square (54756 = 2342).

The spelling of 5467284 in words is "five million, four hundred sixty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 71 92 93 108 124 138 142 186 207 213 276 279 284 372 414 426 558 621 639 713 828 837 852 1116 1242 1278 1426 1633 1674 1917 2139 2201 2484 2556 2852 3266 3348 3834 4278 4402 4899 6417 6532 6603 7668 8556 8804 9798 12834 13206 14697 19251 19596 19809 25668 26412 29394 38502 39618 44091 50623 58788 59427 77004 79236 88182 101246 118854 151869 176364 202492 237708 303738 455607 607476 911214 1366821 1822428 2733642 5467284