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4235328 = 26341943
BaseRepresentation
bin10000001010000001000000
321222011210000
4100022001000
52041012303
6230440000
750666616
oct20120100
97864700
104235328
112433079
121503000
13b53a16
147c36b6
15589da3
hex40a040

4235328 has 140 divisors (see below), whose sum is σ = 13522960. Its totient is φ = 1306368.

The previous prime is 4235327. The next prime is 4235351. The reversal of 4235328 is 8235324.

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

It is not an unprimeable number, because it can be changed into a prime (4235321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98475 + ... + 98517.

Almost surely, 24235328 is an apocalyptic number.

4235328 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 4235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761480).

4235328 is an abundant number, since it is smaller than the sum of its proper divisors (9287632).

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

4235328 is a wasteful number, since it uses less digits than its factorization.

4235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4235328 is about 2057.9912536257. The cubic root of 4235328 is about 161.7939767845.

The spelling of 4235328 in words is "four million, two hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 43 48 54 57 64 72 76 81 86 96 108 114 129 144 152 162 171 172 192 216 228 258 288 304 324 342 344 387 432 456 513 516 576 608 648 684 688 774 817 864 912 1026 1032 1161 1216 1296 1368 1376 1539 1548 1634 1728 1824 2052 2064 2322 2451 2592 2736 2752 3078 3096 3268 3483 3648 4104 4128 4644 4902 5184 5472 6156 6192 6536 6966 7353 8208 8256 9288 9804 10944 12312 12384 13072 13932 14706 16416 18576 19608 22059 24624 24768 26144 27864 29412 32832 37152 39216 44118 49248 52288 55728 58824 66177 74304 78432 88236 98496 111456 117648 132354 156864 176472 222912 235296 264708 352944 470592 529416 705888 1058832 1411776 2117664 4235328