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150483312 = 2433727109
BaseRepresentation
bin10001111100000…
…11000101110000
3101111011100022000
420332003011300
5302010431222
622533214000
73505041600
oct1076030560
9344140260
10150483312
1177a42381
1242491300
132523aba5
1415db2c00
15d3279ac
hex8f83170

150483312 has 120 divisors (see below), whose sum is σ = 502534800. Its totient is φ = 42989184.

The previous prime is 150483257. The next prime is 150483317. The reversal of 150483312 is 213384051.

It is a happy number.

150483312 is a `hidden beast` number, since 150 + 483 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150483317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17614 + ... + 24722.

It is an arithmetic number, because the mean of its divisors is an integer number (4187790).

Almost surely, 2150483312 is an apocalyptic number.

150483312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150483312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251267400).

150483312 is an abundant number, since it is smaller than the sum of its proper divisors (352051488).

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

150483312 is a wasteful number, since it uses less digits than its factorization.

150483312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150483312 is about 12267.1639754264. The cubic root of 150483312 is about 531.8993346005.

The spelling of 150483312 in words is "one hundred fifty million, four hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 7109 10584 14218 21168 21327 28436 42654 49763 56872 63981 85308 99526 113744 127962 149289 170616 191943 199052 255924 298578 341232 348341 383886 398104 447867 511848 597156 696682 767772 796208 895734 1023696 1045023 1194312 1343601 1393364 1535544 1791468 2090046 2388624 2687202 2786728 3071088 3135069 3582936 4180092 5374404 5573456 6270138 7165872 8360184 9405207 10748808 12540276 16720368 18810414 21497616 25080552 37620828 50161104 75241656 150483312