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4230528 = 27323479
BaseRepresentation
bin10000001000110110000000
321221221012020
4100020312000
52040334103
6230401440
750646621
oct20106600
97857166
104230528
11242a505
121500280
13b51793
147c1a48
15588753
hex408d80

4230528 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 1346048.

The previous prime is 4230493. The next prime is 4230571. The reversal of 4230528 is 8250324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 47 + 217 + 33 + 0 + 59 + 221 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 4230498 and 4230507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8593 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 24230528 is an apocalyptic number.

4230528 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 4230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4230528 is an abundant number, since it is smaller than the sum of its proper divisors (7519872).

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

4230528 is a wasteful number, since it uses less digits than its factorization.

4230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4230528 is about 2056.8247373075. The cubic root of 4230528 is about 161.7328319997.

The spelling of 4230528 in words is "four million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 479 552 736 958 1104 1437 1472 1916 2208 2874 2944 3832 4416 5748 7664 8832 11017 11496 15328 22034 22992 30656 33051 44068 45984 61312 66102 88136 91968 132204 176272 183936 264408 352544 528816 705088 1057632 1410176 2115264 4230528