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4835072 = 281117101
BaseRepresentation
bin10010011100011100000000
3100002122110202
4102130130000
52214210242
6251344332
756045264
oct22343400
910078422
104835072
112802730
1217520a8
1310039b8
148dc0a4
15657932
hex49c700

4835072 has 72 divisors (see below), whose sum is σ = 11258352. Its totient is φ = 2048000.

The previous prime is 4835071. The next prime is 4835081. The reversal of 4835072 is 2705384.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47822 + ... + 47922.

It is an arithmetic number, because the mean of its divisors is an integer number (156366).

Almost surely, 24835072 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 4835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629176).

4835072 is an abundant number, since it is smaller than the sum of its proper divisors (6423280).

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

4835072 is a wasteful number, since it uses less digits than its factorization.

4835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 4835072 is about 2198.8797147639. The cubic root of 4835072 is about 169.0963818884.

It can be divided in two parts, 483 and 5072, that added together give a palindrome (5555).

The spelling of 4835072 in words is "four million, eight hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 101 128 136 176 187 202 256 272 352 374 404 544 704 748 808 1088 1111 1408 1496 1616 1717 2176 2222 2816 2992 3232 3434 4352 4444 5984 6464 6868 8888 11968 12928 13736 17776 18887 23936 25856 27472 35552 37774 47872 54944 71104 75548 109888 142208 151096 219776 284416 302192 439552 604384 1208768 2417536 4835072