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4629449264 = 241131818269
BaseRepresentation
bin1000100111110111…
…11100101000110000
3102221122010101111212
410103323330220300
533440114334024
62043213055252
7222502445426
oct42373745060
912848111455
104629449264
111a66226830
12a92487528
1358a15b6bb
1431cba5116
151c165da0e
hex113efca30

4629449264 has 40 divisors (see below), whose sum is σ = 9789232080. Its totient is φ = 2103379200.

The previous prime is 4629449261. The next prime is 4629449303.

4629449264 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4629449261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555722 + ... + 563990.

It is an arithmetic number, because the mean of its divisors is an integer number (244730802).

Almost surely, 24629449264 is an apocalyptic number.

4629449264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4629449264 is an abundant number, since it is smaller than the sum of its proper divisors (5159782816).

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

4629449264 is a wasteful number, since it uses less digits than its factorization.

4629449264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469 (or 11463 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 4629449264 is about 68040.0563197886. The cubic root of 4629449264 is about 1666.6450225100.

The spelling of 4629449264 in words is "four billion, six hundred twenty-nine million, four hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 3181 6362 8269 12724 16538 25448 33076 34991 50896 66152 69982 90959 132304 139964 181918 279928 363836 559856 727672 1455344 26303689 52607378 105214756 210429512 289340579 420859024 578681158 1157362316 2314724632 4629449264