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4832144049 = 319438323753
BaseRepresentation
bin1001000000000010…
…01010101010110001
3110110202112100111010
410200001022222301
534344012102144
62115253341133
7230513355345
oct44001125261
913422470433
104832144049
11205a68a387
12b2a3377a9
135c014a445
1433ba89625
151d434b5b9
hex12004aab1

4832144049 has 32 divisors (see below), whose sum is σ = 7023582720. Its totient is φ = 2944867968.

The previous prime is 4832144041. The next prime is 4832144059. The reversal of 4832144049 is 9404412384.

It is not a de Polignac number, because 4832144049 - 23 = 4832144041 is a prime.

It is a super-2 number, since 2×48321440492 = 46699232220572228802, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4832143998 and 4832144016.

It is not an unprimeable number, because it can be changed into a prime (4832144041) 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 31 ways as a sum of consecutive naturals, for example, 191557 + ... + 215309.

It is an arithmetic number, because the mean of its divisors is an integer number (219486960).

Almost surely, 24832144049 is an apocalyptic number.

It is an amenable number.

4832144049 is a deficient number, since it is larger than the sum of its proper divisors (2191438671).

4832144049 is a wasteful number, since it uses less digits than its factorization.

4832144049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901.

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4832144049 is about 69513.6249162709. The cubic root of 4832144049 is about 1690.6224203873.

The spelling of 4832144049 in words is "four billion, eight hundred thirty-two million, one hundred forty-four thousand, forty-nine".

Divisors: 1 3 19 43 57 83 129 249 817 1577 2451 3569 4731 10707 23753 67811 71259 203433 451307 1021379 1353921 1971499 3064137 5914497 19406201 37458481 58218603 84774457 112375443 254323371 1610714683 4832144049