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4750560 = 253253299
BaseRepresentation
bin10010000111110011100000
322221100112200
4102013303200
52204004220
6245453200
755244013
oct22076340
98840480
104750560
112755191
121711200
13ca43a9
148b937a
1563c890
hex487ce0

4750560 has 72 divisors (see below), whose sum is σ = 16216200. Its totient is φ = 1266432.

The previous prime is 4750517. The next prime is 4750561. The reversal of 4750560 is 650574.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4750561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 3089.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 24750560 is an apocalyptic number.

4750560 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 4750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108100).

4750560 is an abundant number, since it is smaller than the sum of its proper divisors (11465640).

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

4750560 is a wasteful number, since it uses less digits than its factorization.

4750560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4750560 is about 2179.5779407950. The cubic root of 4750560 is about 168.1053760671.

The spelling of 4750560 in words is "four million, seven hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3299 6598 9897 13196 16495 19794 26392 29691 32990 39588 49485 52784 59382 65980 79176 98970 105568 118764 131960 148455 158352 197940 237528 263920 296910 316704 395880 475056 527840 593820 791760 950112 1187640 1583520 2375280 4750560