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4753152 = 28322063
BaseRepresentation
bin10010001000011100000000
322221111002200
4102020130000
52204100102
6245513200
755254405
oct22103400
98844080
104753152
112757128
121712800
13ca5621
148ba2ac
1563d51c
hex488700

4753152 has 54 divisors (see below), whose sum is σ = 13711152. Its totient is φ = 1583616.

The previous prime is 4753127. The next prime is 4753159. The reversal of 4753152 is 2513574.

It is a happy number.

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 (4753159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1273 + ... + 3335.

Almost surely, 24753152 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 4753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855576).

4753152 is an abundant number, since it is smaller than the sum of its proper divisors (8958000).

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

4753152 is a wasteful number, since it uses less digits than its factorization.

4753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2068 counting only the distinct ones).

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

The square root of 4753152 is about 2180.1724702417. The cubic root of 4753152 is about 168.1359443869.

The spelling of 4753152 in words is "four million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2063 2304 4126 6189 8252 12378 16504 18567 24756 33008 37134 49512 66016 74268 99024 132032 148536 198048 264064 297072 396096 528128 594144 792192 1188288 1584384 2376576 4753152