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150406389 = 3473143199
BaseRepresentation
bin10001111011100…
…00010011110101
3101111000102210000
420331300103311
5302001001024
622531421513
73504301410
oct1075602365
9344012700
10150406389
117799a601
1242454899
1325211b83
1415d92b77
15d30ecc9
hex8f704f5

150406389 has 80 divisors (see below), whose sum is σ = 272588800. Its totient is φ = 80831520.

The previous prime is 150406367. The next prime is 150406397. The reversal of 150406389 is 983604051.

150406389 is a `hidden beast` number, since 15 + 0 + 4 + 0 + 638 + 9 = 666.

It is not a de Polignac number, because 150406389 - 224 = 133629173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150406309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 755712 + ... + 755910.

It is an arithmetic number, because the mean of its divisors is an integer number (3407360).

Almost surely, 2150406389 is an apocalyptic number.

It is an amenable number.

150406389 is a deficient number, since it is larger than the sum of its proper divisors (122182411).

150406389 is a wasteful number, since it uses less digits than its factorization.

150406389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150406389 is about 12264.0282533921. The cubic root of 150406389 is about 531.8086883010.

The spelling of 150406389 in words is "one hundred fifty million, four hundred six thousand, three hundred eighty-nine".

Divisors: 1 3 7 9 21 27 31 43 63 81 93 129 189 199 217 279 301 387 567 597 651 837 903 1161 1333 1393 1791 1953 2511 2709 3483 3999 4179 5373 5859 6169 8127 8557 9331 11997 12537 16119 17577 18507 24381 25671 27993 35991 37611 43183 55521 59899 77013 83979 107973 112833 129549 166563 179697 231039 251937 265267 388647 499689 539091 693117 755811 795801 1165941 1617273 1856869 2387403 3497823 4851819 5570607 7162209 16711821 21486627 50135463 150406389