Search a number
-
+
4040832 = 27317619
BaseRepresentation
bin1111011010100010000000
321121021222110
433122202000
52013301312
6222335320
746226565
oct17324200
97537873
104040832
11230aa34
12142a540
13ab6333
1477286c
1554c43c
hex3da880

4040832 has 64 divisors (see below), whose sum is σ = 11383200. Its totient is φ = 1265664.

The previous prime is 4040797. The next prime is 4040833. The reversal of 4040832 is 2380404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×40408323 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4040799 and 4040808.

It is not an unprimeable number, because it can be changed into a prime (4040833) 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, 6219 + ... + 6837.

Almost surely, 24040832 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 4040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691600).

4040832 is an abundant number, since it is smaller than the sum of its proper divisors (7342368).

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

4040832 is a wasteful number, since it uses less digits than its factorization.

4040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4040832 is about 2010.1820813051. The cubic root of 4040832 is about 159.2784172988.

The spelling of 4040832 in words is "four million, forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 619 816 1088 1238 1632 1857 2176 2476 3264 3714 4952 6528 7428 9904 10523 14856 19808 21046 29712 31569 39616 42092 59424 63138 79232 84184 118848 126276 168368 237696 252552 336736 505104 673472 1010208 1346944 2020416 4040832