Search a number
-
+
4072944 = 243531601
BaseRepresentation
bin1111100010010111110000
321122221000210
433202113300
52020313234
6223144120
746422321
oct17422760
97587023
104072944
112332077
121445040
13ac7b35
14780448
15556be9
hex3e25f0

4072944 has 40 divisors (see below), whose sum is σ = 10726992. Its totient is φ = 1331200.

The previous prime is 4072931. The next prime is 4072949. The reversal of 4072944 is 4492704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072949) 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, 1744 + ... + 3344.

Almost surely, 24072944 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 4072944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363496).

4072944 is an abundant number, since it is smaller than the sum of its proper divisors (6654048).

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

4072944 is a wasteful number, since it uses less digits than its factorization.

4072944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4072944 is about 2018.1536115965. The cubic root of 4072944 is about 159.6992266170.

The spelling of 4072944 in words is "four million, seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 1601 2544 3202 4803 6404 9606 12808 19212 25616 38424 76848 84853 169706 254559 339412 509118 678824 1018236 1357648 2036472 4072944