Search a number
-
+
24002272 = 257831291
BaseRepresentation
bin101101110001…
…1111011100000
31200011102221001
41123203323200
522121033042
62214241344
7411005320
oct133437340
950142831
1024002272
1112604298
128056254
134c85038
14328b280
152191bb7
hex16e3ee0

24002272 has 48 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 10154880.

The previous prime is 24002243. The next prime is 24002287. The reversal of 24002272 is 27220042.

It is a super-2 number, since 2×240022722 = 1152218122323968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17947 + ... + 19237.

It is an arithmetic number, because the mean of its divisors is an integer number (1139544).

Almost surely, 224002272 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 24002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

24002272 is an abundant number, since it is smaller than the sum of its proper divisors (30695840).

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

24002272 is a wasteful number, since it uses less digits than its factorization.

24002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 24002272 is about 4899.2113651077. The cubic root of 24002272 is about 288.4590159716.

The spelling of 24002272 in words is "twenty-four million, two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1291 1328 2324 2582 2656 4648 5164 9037 9296 10328 18074 18592 20656 36148 41312 72296 107153 144592 214306 289184 428612 750071 857224 1500142 1714448 3000284 3428896 6000568 12001136 24002272