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150533838 = 232713293169
BaseRepresentation
bin10001111100011…
…11011011001110
3101111020220121100
420332033123032
5302014040323
622534243530
73505342110
oct1076173316
9344226540
10150533838
1177a77334
12424b65a6
1325257ba0
1415dc73b0
15d337943
hex8f8f6ce

150533838 has 96 divisors (see below), whose sum is σ = 415396800. Its totient is φ = 38320128.

The previous prime is 150533783. The next prime is 150533849. The reversal of 150533838 is 838335051.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45918 + ... + 49086.

It is an arithmetic number, because the mean of its divisors is an integer number (4327050).

Almost surely, 2150533838 is an apocalyptic number.

150533838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150533838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207698400).

150533838 is an abundant number, since it is smaller than the sum of its proper divisors (264862962).

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

150533838 is a wasteful number, since it uses less digits than its factorization.

150533838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 150533838 is about 12269.2232027949. The cubic root of 150533838 is about 531.9588577866.

Adding to 150533838 its reverse (838335051), we get a palindrome (988868889).

The spelling of 150533838 in words is "one hundred fifty million, five hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 174 182 203 234 261 273 377 406 522 546 609 754 819 1131 1218 1638 1827 2262 2639 3169 3393 3654 5278 6338 6786 7917 9507 15834 19014 22183 23751 28521 41197 44366 47502 57042 66549 82394 91901 123591 133098 183802 199647 247182 275703 288379 370773 399294 551406 576758 643307 741546 827109 865137 1194713 1286614 1654218 1730274 1929921 2389426 2595411 3584139 3859842 5190822 5789763 7168278 8362991 10752417 11579526 16725982 21504834 25088973 50177946 75266919 150533838