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4276224 = 2143229
BaseRepresentation
bin10000010100000000000000
322001020212200
4100110000000
52043314344
6231353200
751230061
oct20240000
98036780
104276224
112460877
121522800
13b69514
147d4568
15597069
hex414000

4276224 has 90 divisors (see below), whose sum is σ = 12779130. Its totient is φ = 1376256.

The previous prime is 4276213. The next prime is 4276241. The reversal of 4276224 is 4226724.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 589824 = 1920^2 + 768^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147442 + ... + 147470.

Almost surely, 24276224 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 4276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389565).

4276224 is an abundant number, since it is smaller than the sum of its proper divisors (8502906).

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

4276224 is an equidigital number, since it uses as much as digits as its factorization.

4276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4276224 is about 2067.9032859396. The cubic root of 4276224 is about 162.3130663035.

The spelling of 4276224 in words is "four million, two hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2048 2088 2304 2784 3072 3712 4096 4176 4608 5568 6144 7424 8192 8352 9216 11136 12288 14848 16384 16704 18432 22272 24576 29696 33408 36864 44544 49152 59392 66816 73728 89088 118784 133632 147456 178176 237568 267264 356352 475136 534528 712704 1069056 1425408 2138112 4276224