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4576000 = 28531113
BaseRepresentation
bin10001011101001100000000
322121111002111
4101131030000
52132413000
6242025104
753616052
oct21351400
98544074
104576000
112646020
121648194
13c42ac0
148718d2
15605cba
hex45d300

4576000 has 144 divisors (see below), whose sum is σ = 13392288. Its totient is φ = 1536000.

The previous prime is 4575983. The next prime is 4576001. The reversal of 4576000 is 6754.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4576001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351994 + ... + 352006.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

Almost surely, 24576000 is an apocalyptic number.

4576000 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 4576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

4576000 is an abundant number, since it is smaller than the sum of its proper divisors (8816288).

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

4576000 is a wasteful number, since it uses less digits than its factorization.

4576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 4576000 is about 2139.1587131394. The cubic root of 4576000 is about 166.0206100118.

The spelling of 4576000 in words is "four million, five hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 128 130 143 160 176 200 208 220 250 256 260 275 286 320 325 352 400 416 440 500 520 550 572 640 650 704 715 800 832 880 1000 1040 1100 1144 1280 1300 1375 1408 1430 1600 1625 1664 1760 2000 2080 2200 2288 2600 2750 2816 2860 3200 3250 3328 3520 3575 4000 4160 4400 4576 5200 5500 5720 6400 6500 7040 7150 8000 8320 8800 9152 10400 11000 11440 13000 14080 14300 16000 16640 17600 17875 18304 20800 22000 22880 26000 28600 32000 35200 35750 36608 41600 44000 45760 52000 57200 70400 71500 83200 88000 91520 104000 114400 143000 176000 183040 208000 228800 286000 352000 416000 457600 572000 915200 1144000 2288000 4576000