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4038115488 = 253113823973
BaseRepresentation
bin1111000010110000…
…1100000010100000
3101102102102112001220
43300230030002200
531232224143423
61504410455040
7202032262311
oct36054140240
911372375056
104038115488
111792457a30
12948434480
134c47a8564
142a4436608
151897a39e3
hexf0b0c0a0

4038115488 has 48 divisors (see below), whose sum is σ = 11563697376. Its totient is φ = 1223671040.

The previous prime is 4038115481. The next prime is 4038115493. The reversal of 4038115488 is 8845118304.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4038115481) 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 7 ways as a sum of consecutive naturals, for example, 1910931 + ... + 1913042.

It is an arithmetic number, because the mean of its divisors is an integer number (240910362).

Almost surely, 24038115488 is an apocalyptic number.

4038115488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4038115488 is an abundant number, since it is smaller than the sum of its proper divisors (7525581888).

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

4038115488 is a wasteful number, since it uses less digits than its factorization.

4038115488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823997 (or 3823989 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 4038115488 is about 63546.1681614242. The cubic root of 4038115488 is about 1592.4271683522.

The spelling of 4038115488 in words is "four billion, thirty-eight million, one hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3823973 7647946 11471919 15295892 22943838 30591784 42063703 45887676 61183568 84127406 91775352 122367136 126191109 168254812 183550704 252382218 336509624 367101408 504764436 673019248 1009528872 1346038496 2019057744 4038115488