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4607232032 = 25134712
BaseRepresentation
bin1000100101001110…
…01100100000100000
3102220002022122012102
410102213030200200
533413422411112
62041100545532
7222112553234
oct42247144040
912802278172
104607232032
111a54731687
12a86b522a8
13585680000
14319c605c4
151be720bc2
hex1129cc820

4607232032 has 90 divisors (see below), whose sum is σ = 9966683979. Its totient is φ = 2096465280.

The previous prime is 4607232029. The next prime is 4607232037. The reversal of 4607232032 is 2302327064.

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 3 ways, for example, as 80656 + 4607151376 = 284^2 + 67876^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47996.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4607231986 and 4607232004.

It is not an unprimeable number, because it can be changed into a prime (4607232037) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 64890557 + ... + 64890627.

Almost surely, 24607232032 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 4607232032

4607232032 is an abundant number, since it is smaller than the sum of its proper divisors (5359451947).

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

4607232032 is an frugal number, since it uses more digits than its factorization.

4607232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 4607232032 is about 67876.5941396591. The cubic root of 4607232032 is about 1663.9746089876.

Adding to 4607232032 its reverse (2302327064), we get a palindrome (6909559096).

The spelling of 4607232032 in words is "four billion, six hundred seven million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 169 208 284 338 416 568 676 923 1136 1352 1846 2197 2272 2704 3692 4394 5041 5408 7384 8788 10082 11999 14768 17576 20164 23998 28561 29536 35152 40328 47996 57122 65533 70304 80656 95992 114244 131066 155987 161312 191984 228488 262132 311974 383968 456976 524264 623948 851929 913952 1048528 1247896 1703858 2027831 2097056 2495792 3407716 4055662 4991584 6815432 8111324 11075077 13630864 16222648 22150154 27261728 32445296 44300308 64890592 88600616 143976001 177201232 287952002 354402464 575904004 1151808008 2303616016 4607232032