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4432299552 = 253239232
BaseRepresentation
bin1000010000010111…
…11000011000100000
3102102220011010221200
410020023320120200
533034132041202
62011451321200
7214556632062
oct41013703040
912386133850
104432299552
111974a1028a
12a38450200
13558361875
14300925732
151ae1b8e1c
hex1082f8620

4432299552 has 54 divisors (see below), whose sum is σ = 12607565607. Its totient is φ = 1477056576.

The previous prime is 4432299511. The next prime is 4432299577. The reversal of 4432299552 is 2559922344.

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.

4432299552 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 2 + 99 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2216149776 + 2216149776 = 47076^2 + 47076^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47076.

It is a junction number, because it is equal to n+sod(n) for n = 4432299498 and 4432299507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1127863 + ... + 1131785.

Almost surely, 24432299552 is an apocalyptic number.

It is an amenable number.

4432299552 is an abundant number, since it is smaller than the sum of its proper divisors (8175266055).

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

4432299552 is an frugal number, since it uses more digits than its factorization.

4432299552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 3928 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 4432299552 is about 66575.5176622758. The cubic root of 4432299552 is about 1642.6424226841.

The spelling of 4432299552 in words is "four billion, four hundred thirty-two million, two hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3923 7846 11769 15692 23538 31384 35307 47076 62768 70614 94152 125536 141228 188304 282456 376608 564912 1129824 15389929 30779858 46169787 61559716 92339574 123119432 138509361 184679148 246238864 277018722 369358296 492477728 554037444 738716592 1108074888 1477433184 2216149776 4432299552