Search a number
-
+
4290696 = 2332232591
BaseRepresentation
bin10000010111100010001000
322001222201200
4100113202020
52044300241
6231544200
751320214
oct20274210
98058650
104290696
112470733
12152b060
13b72c97
147d9944
1559b4b6
hex417888

4290696 has 48 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 1367520.

The previous prime is 4290683. The next prime is 4290697. The reversal of 4290696 is 6960924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4290696.

It is not an unprimeable number, because it can be changed into a prime (4290697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 24290696 is an apocalyptic number.

4290696 is a gapful number since it is divisible by the number (46) 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 4290696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

4290696 is an abundant number, since it is smaller than the sum of its proper divisors (7839864).

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

4290696 is a wasteful number, since it uses less digits than its factorization.

4290696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4290696 is about 2071.3995268900. The cubic root of 4290696 is about 162.4959651858.

The spelling of 4290696 in words is "four million, two hundred ninety thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2591 5182 7773 10364 15546 20728 23319 31092 46638 59593 62184 93276 119186 178779 186552 238372 357558 476744 536337 715116 1072674 1430232 2145348 4290696