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4527072 = 2532111429
BaseRepresentation
bin10001010001001111100000
322111222222100
4101101033200
52124331242
6241010400
753323314
oct21211740
98458870
104527072
112612290
121623a00
13c26754
1485bb44
155e654c
hex4513e0

4527072 has 72 divisors (see below), whose sum is σ = 14054040. Its totient is φ = 1370880.

The previous prime is 4527071. The next prime is 4527079. The reversal of 4527072 is 2707254.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4527071) 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, 2454 + ... + 3882.

It is an arithmetic number, because the mean of its divisors is an integer number (195195).

Almost surely, 24527072 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 4527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027020).

4527072 is an abundant number, since it is smaller than the sum of its proper divisors (9526968).

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

4527072 is a wasteful number, since it uses less digits than its factorization.

4527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4527072 is about 2127.6917069914. The cubic root of 4527072 is about 165.4267739814.

It can be divided in two parts, 4 and 527072, that added together give a square (527076 = 7262).

The spelling of 4527072 in words is "four million, five hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1429 1584 2858 3168 4287 5716 8574 11432 12861 15719 17148 22864 25722 31438 34296 45728 47157 51444 62876 68592 94314 102888 125752 137184 141471 188628 205776 251504 282942 377256 411552 503008 565884 754512 1131768 1509024 2263536 4527072