Search a number
-
+
4290496 = 26761157
BaseRepresentation
bin10000010111011111000000
322001222110021
4100113133000
52044243441
6231543224
751316510
oct20273700
98058407
104290496
112470571
12152ab14
13b72b72
147d9840
1559b3d1
hex4177c0

4290496 has 56 divisors (see below), whose sum is σ = 9952736. Its totient is φ = 1797120.

The previous prime is 4290491. The next prime is 4290499. The reversal of 4290496 is 6940924.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290491) 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, 27250 + ... + 27406.

Almost surely, 24290496 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 4290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976368).

4290496 is an abundant number, since it is smaller than the sum of its proper divisors (5662240).

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

4290496 is a wasteful number, since it uses less digits than its factorization.

4290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4290496 is about 2071.3512497884. The cubic root of 4290496 is about 162.4934403664.

The spelling of 4290496 in words is "four million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 157 224 244 314 427 448 488 628 854 976 1099 1256 1708 1952 2198 2512 3416 3904 4396 5024 6832 8792 9577 10048 13664 17584 19154 27328 35168 38308 67039 70336 76616 134078 153232 268156 306464 536312 612928 1072624 2145248 4290496