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4908288 = 28371183
BaseRepresentation
bin10010101110010100000000
3100020100220110
4102232110000
52224031123
6253111320
756501610
oct22562400
910210813
104908288
112852740
121788540
13102b118
1491aa40
1566e493
hex4ae500

4908288 has 144 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 1259520.

The previous prime is 4908247. The next prime is 4908311. The reversal of 4908288 is 8828094.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59095 + ... + 59177.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

Almost surely, 24908288 is an apocalyptic number.

4908288 is a gapful number since it is divisible by the number (48) 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 4908288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

4908288 is an abundant number, since it is smaller than the sum of its proper divisors (11574528).

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

4908288 is a wasteful number, since it uses less digits than its factorization.

4908288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 4908288 is about 2215.4656395440. The cubic root of 4908288 is about 169.9456342882.

It can be divided in two parts, 490 and 8288, that added together give a palindrome (8778).

The spelling of 4908288 in words is "four million, nine hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 83 84 88 96 112 128 132 154 166 168 176 192 224 231 249 256 264 308 332 336 352 384 448 462 498 528 581 616 664 672 704 768 896 913 924 996 1056 1162 1232 1328 1344 1408 1743 1792 1826 1848 1992 2112 2324 2464 2656 2688 2739 2816 3486 3652 3696 3984 4224 4648 4928 5312 5376 5478 6391 6972 7304 7392 7968 8448 9296 9856 10624 10956 12782 13944 14608 14784 15936 18592 19173 19712 21248 21912 25564 27888 29216 29568 31872 37184 38346 43824 51128 55776 58432 59136 63744 74368 76692 87648 102256 111552 116864 148736 153384 175296 204512 223104 233728 306768 350592 409024 446208 613536 701184 818048 1227072 1636096 2454144 4908288