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4429056 = 2837379
BaseRepresentation
bin10000111001010100000000
322100000112010
4100321110000
52113212211
6234532520
752434462
oct20712400
98300463
104429056
112555685
121597140
13bc0c58
14834132
155c74a6
hex439500

4429056 has 72 divisors (see below), whose sum is σ = 12100480. Its totient is φ = 1437696.

The previous prime is 4429049. The next prime is 4429057. The reversal of 4429056 is 6509244.

It is a super-2 number, since 2×44290562 = 39233074102272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429057) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 56025 + ... + 56103.

Almost surely, 24429056 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 4429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050240).

4429056 is an abundant number, since it is smaller than the sum of its proper divisors (7671424).

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

4429056 is an equidigital number, since it uses as much as digits as its factorization.

4429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4429056 is about 2104.5322520693. The cubic root of 4429056 is about 164.2241630255.

The spelling of 4429056 in words is "four million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 79 96 128 146 158 192 219 237 256 292 316 384 438 474 584 632 768 876 948 1168 1264 1752 1896 2336 2528 3504 3792 4672 5056 5767 7008 7584 9344 10112 11534 14016 15168 17301 18688 20224 23068 28032 30336 34602 46136 56064 60672 69204 92272 138408 184544 276816 369088 553632 738176 1107264 1476352 2214528 4429056