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4528080 = 2432519331
BaseRepresentation
bin10001010001011111010000
322112001100200
4101101133100
52124344310
6241015200
753326254
oct21213720
98461320
104528080
112613017
121624500
13c2704b
1485c264
155e69c0
hex4517d0

4528080 has 120 divisors (see below), whose sum is σ = 16055520. Its totient is φ = 1140480.

The previous prime is 4528021. The next prime is 4528087. The reversal of 4528080 is 808254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528087) 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, 13515 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (133796).

Almost surely, 24528080 is an apocalyptic number.

4528080 is a gapful number since it is divisible by the number (40) 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 4528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027760).

4528080 is an abundant number, since it is smaller than the sum of its proper divisors (11527440).

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

4528080 is a wasteful number, since it uses less digits than its factorization.

4528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4528080 is about 2127.9285702297. The cubic root of 4528080 is about 165.4390510716.

The spelling of 4528080 in words is "four million, five hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 331 342 360 380 456 570 662 684 720 760 855 912 993 1140 1324 1368 1520 1655 1710 1986 2280 2648 2736 2979 3310 3420 3972 4560 4965 5296 5958 6289 6620 6840 7944 9930 11916 12578 13240 13680 14895 15888 18867 19860 23832 25156 26480 29790 31445 37734 39720 47664 50312 56601 59580 62890 75468 79440 94335 100624 113202 119160 125780 150936 188670 226404 238320 251560 283005 301872 377340 452808 503120 566010 754680 905616 1132020 1509360 2264040 4528080