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4755456 = 2123343
BaseRepresentation
bin10010001001000000000000
322221121021000
4102021000000
52204133311
6245532000
755264206
oct22110000
98847230
104755456
112758932
121714000
13ca66a4
148bb076
1563e056
hex489000

4755456 has 104 divisors (see below), whose sum is σ = 14416160. Its totient is φ = 1548288.

The previous prime is 4755451. The next prime is 4755463. The reversal of 4755456 is 6545574.

It is a happy number.

It is a super-2 number, since 2×47554562 = 45228723535872, which contains 22 as substring.

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

Its product of digits (84000) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4755456.

It is not an unprimeable number, because it can be changed into a prime (4755451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110571 + ... + 110613.

Almost surely, 24755456 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 4755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208080).

4755456 is an abundant number, since it is smaller than the sum of its proper divisors (9660704).

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

4755456 is an equidigital number, since it uses as much as digits as its factorization.

4755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 4755456 is about 2180.7008047873. The cubic root of 4755456 is about 168.1631068986.

The spelling of 4755456 in words is "four million, seven hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 688 768 774 864 1024 1032 1152 1161 1376 1536 1548 1728 2048 2064 2304 2322 2752 3072 3096 3456 4096 4128 4608 4644 5504 6144 6192 6912 8256 9216 9288 11008 12288 12384 13824 16512 18432 18576 22016 24768 27648 33024 36864 37152 44032 49536 55296 66048 74304 88064 99072 110592 132096 148608 176128 198144 264192 297216 396288 528384 594432 792576 1188864 1585152 2377728 4755456