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150159828 = 223713199691
BaseRepresentation
bin10001111001101…
…00000111010100
3101110112220120010
420330310013110
5301420103303
622522240220
73502223520
oct1074640724
9343486503
10150159828
1177841335
1242356070
1325156890
1415d2ad80
15d2b1c03
hex8f341d4

150159828 has 96 divisors (see below), whose sum is σ = 434022400. Its totient is φ = 39346560.

The previous prime is 150159811. The next prime is 150159833. The reversal of 150159828 is 828951051.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 216963 + ... + 217653.

Almost surely, 2150159828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150159828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217011200).

150159828 is an abundant number, since it is smaller than the sum of its proper divisors (283862572).

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

150159828 is a wasteful number, since it uses less digits than its factorization.

150159828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 150159828 is about 12253.9719275017. The cubic root of 150159828 is about 531.5179315979.

The spelling of 150159828 in words is "one hundred fifty million, one hundred fifty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 597 691 796 1092 1194 1382 1393 2073 2388 2587 2764 2786 4146 4179 4837 5174 5572 7761 8292 8358 8983 9674 10348 14511 15522 16716 17966 18109 19348 26949 29022 31044 35932 36218 53898 54327 58044 62881 72436 107796 108654 125762 137509 188643 217308 251524 275018 377286 412527 550036 754572 825054 962563 1650108 1787617 1925126 2887689 3575234 3850252 5362851 5775378 7150468 10725702 11550756 12513319 21451404 25026638 37539957 50053276 75079914 150159828