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4292288 = 267111367
BaseRepresentation
bin10000010111111011000000
322002001220122
4100113323000
52044323123
6231555412
751324650
oct20277300
98061818
104292288
112471950
12152bb68
13b73920
147da360
1559bbc8
hex417ec0

4292288 has 112 divisors (see below), whose sum is σ = 11606784. Its totient is φ = 1520640.

The previous prime is 4292287. The next prime is 4292293. The reversal of 4292288 is 8822924.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4292287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64031 + ... + 64097.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

Almost surely, 24292288 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 4292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803392).

4292288 is an abundant number, since it is smaller than the sum of its proper divisors (7314496).

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

4292288 is a wasteful number, since it uses less digits than its factorization.

4292288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 4292288 is about 2071.7837725014. The cubic root of 4292288 is about 162.5160599512.

It can be divided in two parts, 4 and 292288, that added together give a palindrome (292292).

The spelling of 4292288 in words is "four million, two hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 67 77 88 91 104 112 134 143 154 176 182 208 224 268 286 308 352 364 416 448 469 536 572 616 704 728 737 832 871 938 1001 1072 1144 1232 1456 1474 1742 1876 2002 2144 2288 2464 2912 2948 3484 3752 4004 4288 4576 4928 5159 5824 5896 6097 6968 7504 8008 9152 9581 10318 11792 12194 13936 15008 16016 19162 20636 23584 24388 27872 30016 32032 38324 41272 47168 48776 55744 64064 67067 76648 82544 97552 134134 153296 165088 195104 268268 306592 330176 390208 536536 613184 1073072 2146144 4292288