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4484909376 = 263231251171
BaseRepresentation
bin1000010110101001…
…00100100101000000
3102120120011000001200
410023110210211000
533141114100001
62021011101200
7216066046353
oct41324444500
912516130050
104484909376
1119a1683882
12a51ba1800
13566221b3c
143078dc29a
151b3b0c086
hex10b524940

4484909376 has 84 divisors (see below), whose sum is σ = 13269919104. Its totient is φ = 1446739200.

The previous prime is 4484909347. The next prime is 4484909389. The reversal of 4484909376 is 6739094844.

It is a happy number.

4484909376 is a `hidden beast` number, since 4 + 484 + 9 + 0 + 93 + 76 = 666.

It is a super-2 number, since 2×44849093762 = 40228824221865418752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107730 + ... + 143441.

Almost surely, 24484909376 is an apocalyptic number.

It is an amenable number.

4484909376 is an abundant number, since it is smaller than the sum of its proper divisors (8785009728).

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

4484909376 is a wasteful number, since it uses less digits than its factorization.

4484909376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251220 (or 251207 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4484909376 is about 66969.4659975724. The cubic root of 4484909376 is about 1649.1160709035.

The spelling of 4484909376 in words is "four billion, four hundred eighty-four million, nine hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 251171 502342 753513 1004684 1507026 2009368 2260539 3014052 4018736 4521078 6028104 7786301 8037472 9042156 12056208 15572602 16074944 18084312 23358903 24112416 31145204 36168624 46717806 48224832 62290408 70076709 72337248 93435612 124580816 140153418 144674496 186871224 249161632 280306836 373742448 498323264 560613672 747484896 1121227344 1494969792 2242454688 4484909376