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5292288 = 28322297
BaseRepresentation
bin10100001100000100000000
3100221212122200
4110030010000
52323323123
6305233200
762661261
oct24140400
910855580
105292288
112a951a1
121932800
131133b41
149ba968
156e8143
hex50c100

5292288 has 54 divisors (see below), whose sum is σ = 15265614. Its totient is φ = 1763328.

The previous prime is 5292283. The next prime is 5292293. The reversal of 5292288 is 8822925.

It is an interprime number because it is at equal distance from previous prime (5292283) and next prime (5292293).

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 831744 = 2112^2 + 912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5292283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1156 + ... + 3452.

Almost surely, 25292288 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 5292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632807).

5292288 is an abundant number, since it is smaller than the sum of its proper divisors (9973326).

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

5292288 is a wasteful number, since it uses less digits than its factorization.

5292288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2302 counting only the distinct ones).

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

The square root of 5292288 is about 2300.4973375338. The cubic root of 5292288 is about 174.2667331935.

The spelling of 5292288 in words is "five million, two hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2297 2304 4594 6891 9188 13782 18376 20673 27564 36752 41346 55128 73504 82692 110256 147008 165384 220512 294016 330768 441024 588032 661536 882048 1323072 1764096 2646144 5292288