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8000949348 = 2232731749799
BaseRepresentation
bin1110111001110010…
…01100110001100100
3202122121012100011100
413130321030301210
5112341220334343
63401532040100
7402161642640
oct73471146144
922577170140
108000949348
113436366737
121673603030
139a67b6272
1455c873c20
1531c6369d3
hex1dce4cc64

8000949348 has 36 divisors (see below), whose sum is σ = 23113854400. Its totient is φ = 2285985456.

The previous prime is 8000949347. The next prime is 8000949361. The reversal of 8000949348 is 8439490008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (8000949347) 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 11 ways as a sum of consecutive naturals, for example, 15874648 + ... + 15875151.

Almost surely, 28000949348 is an apocalyptic number.

It is an amenable number.

8000949348 is an abundant number, since it is smaller than the sum of its proper divisors (15112905052).

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

8000949348 is a wasteful number, since it uses less digits than its factorization.

8000949348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31749816 (or 31749811 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8000949348 is about 89448.0259592128. The cubic root of 8000949348 is about 2000.0791092042.

The spelling of 8000949348 in words is "eight billion, nine hundred forty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 31749799 63499598 95249397 126999196 190498794 222248593 285748191 380997588 444497186 571496382 666745779 888994372 1142992764 1333491558 2000237337 2666983116 4000474674 8000949348