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4145328 = 2432112617
BaseRepresentation
bin1111110100000010110000
321210121022200
433310002300
52030122303
6224503200
750143335
oct17640260
97717280
104145328
1123814a0
12147ab00
13b21a75
1479c98c
1556d3a3
hex3f40b0

4145328 has 60 divisors (see below), whose sum is σ = 12660648. Its totient is φ = 1255680.

The previous prime is 4145299. The next prime is 4145333. The reversal of 4145328 is 8235414.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 2892.

Almost surely, 24145328 is an apocalyptic number.

4145328 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 4145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330324).

4145328 is an abundant number, since it is smaller than the sum of its proper divisors (8515320).

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

4145328 is a wasteful number, since it uses less digits than its factorization.

4145328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2633 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4145328 is about 2036.0078585310. The cubic root of 4145328 is about 160.6397304139.

It can be divided in two parts, 41 and 45328, that added together give a square (45369 = 2132).

The spelling of 4145328 in words is "four million, one hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2617 5234 7851 10468 15702 20936 23553 28787 31404 41872 47106 57574 62808 86361 94212 115148 125616 172722 188424 230296 259083 345444 376848 460592 518166 690888 1036332 1381776 2072664 4145328