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4023272 = 2311131349
BaseRepresentation
bin1111010110001111101000
321120101220002
433112033220
52012221042
6222122132
746124441
oct17261750
97511802
104023272
1122a8820
121420348
13aab346
1476a2c8
15547132
hex3d63e8

4023272 has 32 divisors (see below), whose sum is σ = 8316000. Its totient is φ = 1809600.

The previous prime is 4023263. The next prime is 4023277. The reversal of 4023272 is 2723204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4023277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11354 + ... + 11702.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 24023272 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 4023272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158000).

4023272 is an abundant number, since it is smaller than the sum of its proper divisors (4292728).

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

4023272 is a wasteful number, since it uses less digits than its factorization.

4023272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 4023272 is about 2005.8095622466. The cubic root of 4023272 is about 159.0473600727.

Adding to 4023272 its reverse (2723204), we get a palindrome (6746476).

It can be divided in two parts, 40232 and 72, that added together give a palindrome (40304).

The spelling of 4023272 in words is "four million, twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 131 262 349 524 698 1048 1396 1441 2792 2882 3839 5764 7678 11528 15356 30712 45719 91438 182876 365752 502909 1005818 2011636 4023272