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4227072 = 215343
BaseRepresentation
bin10000001000000000000000
321221202110020
4100020000000
52040231242
6230333440
750633553
oct20100000
97852406
104227072
112427953
1214ba280
13b50035
147c069a
155876ec
hex408000

4227072 has 64 divisors (see below), whose sum is σ = 11534160. Its totient is φ = 1376256.

The previous prime is 4227061. The next prime is 4227077. The reversal of 4227072 is 2707224.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4227077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98283 + ... + 98325.

Almost surely, 24227072 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 4227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767080).

4227072 is an abundant number, since it is smaller than the sum of its proper divisors (7307088).

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

4227072 is an frugal number, since it uses more digits than its factorization.

4227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4227072 is about 2055.9844357388. The cubic root of 4227072 is about 161.6887791107.

The spelling of 4227072 in words is "four million, two hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16384 16512 22016 24576 32768 33024 44032 49152 66048 88064 98304 132096 176128 264192 352256 528384 704512 1056768 1409024 2113536 4227072