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150352650 = 23252759809
BaseRepresentation
bin10001111011000…
…11001100001010
3101110220201001200
420331203030022
5301442241100
622530325030
73503655630
oct1075431412
9343821050
10150352650
1177963198
1242429776
13251c3586
1415d7b350
15d2ede00
hex8f6330a

150352650 has 144 divisors (see below), whose sum is σ = 470059200. Its totient is φ = 33742080.

The previous prime is 150352649. The next prime is 150352669. The reversal of 150352650 is 56253051.

150352650 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 5 + 2 + 650 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185446 + ... + 186254.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2150352650 is an apocalyptic number.

150352650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150352650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235029600).

150352650 is an abundant number, since it is smaller than the sum of its proper divisors (319706550).

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

150352650 is a wasteful number, since it uses less digits than its factorization.

150352650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 150352650 is about 12261.8371380475. The cubic root of 150352650 is about 531.7453437591.

The spelling of 150352650 in words is "one hundred fifty million, three hundred fifty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 59 63 70 75 90 105 118 126 150 175 177 210 225 295 315 350 354 413 450 525 531 590 630 809 826 885 1050 1062 1239 1475 1575 1618 1770 2065 2427 2478 2655 2950 3150 3717 4045 4130 4425 4854 5310 5663 6195 7281 7434 8090 8850 10325 11326 12135 12390 13275 14562 16989 18585 20225 20650 24270 26550 28315 30975 33978 36405 37170 40450 47731 50967 56630 60675 61950 72810 84945 92925 95462 101934 121350 141575 143193 169890 182025 185850 238655 254835 283150 286386 334117 364050 424725 429579 477310 509670 668234 715965 849450 859158 1002351 1193275 1274175 1431930 1670585 2004702 2147895 2386550 2548350 3007053 3341170 3579825 4295790 5011755 6014106 7159650 8352925 10023510 10739475 15035265 16705850 21478950 25058775 30070530 50117550 75176325 150352650