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5409288 = 233379317
BaseRepresentation
bin10100101000101000001000
3101011211011000
4110220220020
52341044123
6311535000
763656343
oct24505010
911154130
105409288
113065095
12198a460
131175181
14a0b45a
1571cb43
hex528a08

5409288 has 64 divisors (see below), whose sum is σ = 15264000. Its totient is φ = 1774656.

The previous prime is 5409269. The next prime is 5409293. The reversal of 5409288 is 8829045.

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

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 15 ways as a sum of consecutive naturals, for example, 16906 + ... + 17222.

It is an arithmetic number, because the mean of its divisors is an integer number (238500).

Almost surely, 25409288 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 5409288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632000).

5409288 is an abundant number, since it is smaller than the sum of its proper divisors (9854712).

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

5409288 is a wasteful number, since it uses less digits than its factorization.

5409288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5409288 is about 2325.7876085318. The cubic root of 5409288 is about 175.5415928886.

The spelling of 5409288 in words is "five million, four hundred nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 317 474 632 634 711 948 951 1268 1422 1896 1902 2133 2536 2844 2853 3804 4266 5688 5706 7608 8532 8559 11412 17064 17118 22824 25043 34236 50086 68472 75129 100172 150258 200344 225387 300516 450774 601032 676161 901548 1352322 1803096 2704644 5409288