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4429404 = 22367231
BaseRepresentation
bin10000111001011001011100
322100001000000
4100321121130
52113220104
6234534300
752435500
oct20713134
98301000
104429404
112555971
121597390
13bc1165
14834300
155c7639
hex43965c

4429404 has 126 divisors (see below), whose sum is σ = 13955424. Its totient is φ = 1224720.

The previous prime is 4429391. The next prime is 4429417. The reversal of 4429404 is 4049244.

It is an interprime number because it is at equal distance from previous prime (4429391) and next prime (4429417).

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 142869 + ... + 142899.

Almost surely, 24429404 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 4429404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977712).

4429404 is an abundant number, since it is smaller than the sum of its proper divisors (9526020).

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

4429404 is a wasteful number, since it uses less digits than its factorization.

4429404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4429404 is about 2104.6149291497. The cubic root of 4429404 is about 164.2284640557.

The spelling of 4429404 in words is "four million, four hundred twenty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 81 84 93 98 108 124 126 147 162 186 189 196 217 243 252 279 294 324 372 378 434 441 486 558 567 588 651 729 756 837 868 882 972 1116 1134 1302 1323 1458 1519 1674 1701 1764 1953 2268 2511 2604 2646 2916 3038 3348 3402 3906 3969 4557 5022 5103 5292 5859 6076 6804 7533 7812 7938 9114 10044 10206 11718 11907 13671 15066 15876 17577 18228 20412 22599 23436 23814 27342 30132 35154 35721 41013 45198 47628 52731 54684 70308 71442 82026 90396 105462 123039 142884 158193 164052 210924 246078 316386 369117 492156 632772 738234 1107351 1476468 2214702 4429404