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4863232 = 28112157
BaseRepresentation
bin10010100011010100000000
3100011002002201
4102203110000
52221110412
6252122544
756223343
oct22432400
910132081
104863232
112821900
121766454
13101376a
1490845a
15660e57
hex4a3500

4863232 has 54 divisors (see below), whose sum is σ = 10738154. Its totient is φ = 2196480.

The previous prime is 4863223. The next prime is 4863233. The reversal of 4863232 is 2323684.

It can be written as a sum of positive squares in only one way, i.e., 3748096 + 1115136 = 1936^2 + 1056^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4863232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863233) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 30898 + ... + 31054.

Almost surely, 24863232 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 4863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369077).

4863232 is an abundant number, since it is smaller than the sum of its proper divisors (5874922).

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

4863232 is a wasteful number, since it uses less digits than its factorization.

4863232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4863232 is about 2205.2736791609. The cubic root of 4863232 is about 169.4240253775.

The spelling of 4863232 in words is "four million, eight hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 157 176 242 256 314 352 484 628 704 968 1256 1408 1727 1936 2512 2816 3454 3872 5024 6908 7744 10048 13816 15488 18997 20096 27632 30976 37994 40192 55264 75988 110528 151976 221056 303952 442112 607904 1215808 2431616 4863232