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4528368 = 2432134159
BaseRepresentation
bin10001010001100011110000
322112001202100
4101101203300
52124401433
6241020400
753330145
oct21214360
98461670
104528368
112613259
121624700
13c27210
1485c3cc
155e6b13
hex4518f0

4528368 has 120 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1336320.

The previous prime is 4528367. The next prime is 4528369. The reversal of 4528368 is 8638254.

It is an interprime number because it is at equal distance from previous prime (4528367) and next prime (4528369).

It is a super-2 number, since 2×45283682 = 41012233486848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76723 + ... + 76781.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 24528368 is an apocalyptic number.

4528368 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 4528368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4528368 is an abundant number, since it is smaller than the sum of its proper divisors (9689472).

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

4528368 is a wasteful number, since it uses less digits than its factorization.

4528368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4528368 is about 2127.9962405982. The cubic root of 4528368 is about 165.4425584770.

The spelling of 4528368 in words is "four million, five hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 59 72 78 82 104 117 118 123 144 156 164 177 208 234 236 246 312 328 354 369 468 472 492 531 533 624 656 708 738 767 936 944 984 1062 1066 1416 1476 1534 1599 1872 1968 2124 2132 2301 2419 2832 2952 3068 3198 4248 4264 4602 4797 4838 5904 6136 6396 6903 7257 8496 8528 9204 9594 9676 12272 12792 13806 14514 18408 19188 19352 21771 25584 27612 29028 31447 36816 38376 38704 43542 55224 58056 62894 76752 87084 94341 110448 116112 125788 174168 188682 251576 283023 348336 377364 503152 566046 754728 1132092 1509456 2264184 4528368