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4022272 = 213491
BaseRepresentation
bin1111010110000000000000
321120100112001
433112000000
52012203042
6222113344
746121512
oct17260000
97510461
104022272
1122a7aa1
12141b854
13aaaa57
14769bb2
15546bb7
hex3d6000

4022272 has 28 divisors (see below), whose sum is σ = 8060436. Its totient is φ = 2007040.

The previous prime is 4022257. The next prime is 4022287. The reversal of 4022272 is 2722204.

It is an interprime number because it is at equal distance from previous prime (4022257) and next prime (4022287).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7947 + ... + 8437.

Almost surely, 24022272 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 4022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030218).

4022272 is an abundant number, since it is smaller than the sum of its proper divisors (4038164).

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

4022272 is an frugal number, since it uses more digits than its factorization.

With its predecessor (4022271) it forms an eRAP, since the sums of their prime factors are consecutive (516 and 517).

4022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

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

The square root of 4022272 is about 2005.5602708470. The cubic root of 4022272 is about 159.0341816995.

Adding to 4022272 its reverse (2722204), we get a palindrome (6744476).

The spelling of 4022272 in words is "four million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 491 512 982 1024 1964 2048 3928 4096 7856 8192 15712 31424 62848 125696 251392 502784 1005568 2011136 4022272