Search a number
-
+
4295936 = 2897173
BaseRepresentation
bin10000011000110100000000
322002020220202
4100120310000
52044432221
6232024332
751341411
oct20306400
98066822
104295936
112474667
1215320a8
13b75498
147db808
1559cd0b
hex418d00

4295936 has 36 divisors (see below), whose sum is σ = 8713572. Its totient is φ = 2113536.

The previous prime is 4295927. The next prime is 4295953. The reversal of 4295936 is 6395924.

It can be written as a sum of positive squares in 2 ways, for example, as 3041536 + 1254400 = 1744^2 + 1120^2 .

It is a super-2 number, since 2×42959362 = 36910132232192, which contains 22 as substring.

It is a d-powerful number, because it can be written as 411 + 213 + 94 + 57 + 94 + 37 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4295936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24746 + ... + 24918.

Almost surely, 24295936 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 4295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356786).

4295936 is an abundant number, since it is smaller than the sum of its proper divisors (4417636).

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

4295936 is an equidigital number, since it uses as much as digits as its factorization.

4295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 4295936 is about 2072.6639862747. The cubic root of 4295936 is about 162.5620875174.

It can be divided in two parts, 4 and 295936, that multiplied together give a square (1183744 = 10882).

The spelling of 4295936 in words is "four million, two hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 97 128 173 194 256 346 388 692 776 1384 1552 2768 3104 5536 6208 11072 12416 16781 22144 24832 33562 44288 67124 134248 268496 536992 1073984 2147968 4295936