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4752576 = 263237223
BaseRepresentation
bin10010001000010011000000
322221110022100
4102020103000
52204040301
6245510400
755252623
oct22102300
98843270
104752576
112756754
121712400
13ca529a
148b9dba
1563d286
hex4884c0

4752576 has 84 divisors (see below), whose sum is σ = 14053312. Its totient is φ = 1534464.

The previous prime is 4752569. The next prime is 4752577. The reversal of 4752576 is 6752574.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4752576.

It is not an unprimeable number, because it can be changed into a prime (4752577) 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, 21201 + ... + 21423.

Almost surely, 24752576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026656).

4752576 is an abundant number, since it is smaller than the sum of its proper divisors (9300736).

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

4752576 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 4752576 = (2756754)11.

4752576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 4752576 is about 2180.0403665987. The cubic root of 4752576 is about 168.1291523875.

The spelling of 4752576 in words is "four million, seven hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 223 288 296 333 444 446 576 592 666 669 888 892 1184 1332 1338 1776 1784 2007 2368 2664 2676 3552 3568 4014 5328 5352 7104 7136 8028 8251 10656 10704 14272 16056 16502 21312 21408 24753 32112 33004 42816 49506 64224 66008 74259 99012 128448 132016 148518 198024 264032 297036 396048 528064 594072 792096 1188144 1584192 2376288 4752576