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4429728 = 25341709
BaseRepresentation
bin10000111001011110100000
322100001110000
4100321132200
52113222403
6234540000
752436442
oct20713640
98301400
104429728
112556136
121597600
13bc1354
14834492
155c77a3
hex4397a0

4429728 has 60 divisors (see below), whose sum is σ = 13035330. Its totient is φ = 1475712.

The previous prime is 4429723. The next prime is 4429739. The reversal of 4429728 is 8279244.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 219024 = 2052^2 + 468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 49 + 410 + 213 + 95 + 77 + 217 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 4429692 and 4429701.

It is not an unprimeable number, because it can be changed into a prime (4429723) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1738 + ... + 3446.

Almost surely, 24429728 is an apocalyptic number.

4429728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517665).

4429728 is an abundant number, since it is smaller than the sum of its proper divisors (8605602).

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

4429728 is a wasteful number, since it uses less digits than its factorization.

4429728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1714 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4429728 is about 2104.6919014431. The cubic root of 4429728 is about 164.2324682607.

The spelling of 4429728 in words is "four million, four hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1709 2592 3418 5127 6836 10254 13672 15381 20508 27344 30762 41016 46143 54688 61524 82032 92286 123048 138429 164064 184572 246096 276858 369144 492192 553716 738288 1107432 1476576 2214864 4429728