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4372144 = 247103379
BaseRepresentation
bin10000101011011010110000
322020010110021
4100223122300
52104402034
6233413224
752106530
oct20533260
98203407
104372144
112516947
12156a214
13ba108a
1481b4c0
155b56b4
hex42b6b0

4372144 has 40 divisors (see below), whose sum is σ = 9800960. Its totient is φ = 1850688.

The previous prime is 4372141. The next prime is 4372153. The reversal of 4372144 is 4412734.

It is not an unprimeable number, because it can be changed into a prime (4372141) 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, 11347 + ... + 11725.

It is an arithmetic number, because the mean of its divisors is an integer number (245024).

Almost surely, 24372144 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 4372144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900480).

4372144 is an abundant number, since it is smaller than the sum of its proper divisors (5428816).

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

4372144 is a wasteful number, since it uses less digits than its factorization.

4372144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 4372144 is about 2090.9672402981. The cubic root of 4372144 is about 163.5177185610.

Adding to 4372144 its reverse (4412734), we get a palindrome (8784878).

The spelling of 4372144 in words is "four million, three hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 379 412 721 758 824 1442 1516 1648 2653 2884 3032 5306 5768 6064 10612 11536 21224 39037 42448 78074 156148 273259 312296 546518 624592 1093036 2186072 4372144