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4724697632 = 252924192
BaseRepresentation
bin1000110011001110…
…10010101000100000
3110012021100111201012
410121213102220200
534134010311012
62100454400052
7225040160444
oct43147225040
913167314635
104724697632
112004a72296
12aba360028
135a3aca495
1432b6ba824
151c9bc5622
hex1199d2a20

4724697632 has 54 divisors (see below), whose sum is σ = 9656605413. Its totient is φ = 2275444864.

The previous prime is 4724697619. The next prime is 4724697673. The reversal of 4724697632 is 2367964274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4721888656 + 2808976 = 68716^2 + 1676^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=48604.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11275919 + ... + 11276337.

Almost surely, 24724697632 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 4724697632

4724697632 is an abundant number, since it is smaller than the sum of its proper divisors (4931907781).

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

4724697632 is an frugal number, since it uses more digits than its factorization.

4724697632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 450 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 50.

The square root of 4724697632 is about 68736.4359855819. The cubic root of 4724697632 is about 1677.9976181005.

Multiplying 4724697632 by its sum of digits (50), we get a square (236234881600 = 4860402).

The spelling of 4724697632 in words is "four billion, seven hundred twenty-four million, six hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 419 464 838 841 928 1676 1682 3352 3364 6704 6728 12151 13408 13456 24302 26912 48604 97208 175561 194416 351122 352379 388832 702244 704758 1404488 1409516 2808976 2819032 5091269 5617952 5638064 10182538 11276128 20365076 40730152 81460304 147646801 162920608 295293602 590587204 1181174408 2362348816 4724697632