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158288328 = 233211218169
BaseRepresentation
bin10010110111101…
…00100111001000
3102000211212202200
421123310213020
5311010211303
623412400200
73631300002
oct1133644710
9360755680
10158288328
1181393400
1245016060
1326a41643
1417045372
15dd6a3a3
hex96f49c8

158288328 has 72 divisors (see below), whose sum is σ = 471238950. Its totient is φ = 47963520.

The previous prime is 158288321. The next prime is 158288357. The reversal of 158288328 is 823882851.

158288328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152324964 + 5963364 = 12342^2 + 2442^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (158288321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 373 + ... + 17796.

Almost surely, 2158288328 is an apocalyptic number.

158288328 is a gapful number since it is divisible by the number (18) 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 158288328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235619475).

158288328 is an abundant number, since it is smaller than the sum of its proper divisors (312950622).

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

158288328 is a wasteful number, since it uses less digits than its factorization.

158288328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203 (or 18185 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 158288328 is about 12581.2689344120. The cubic root of 158288328 is about 540.9406649631.

The spelling of 158288328 in words is "one hundred fifty-eight million, two hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 18169 36338 54507 72676 109014 145352 163521 199859 218028 327042 399718 436056 599577 654084 799436 1199154 1308168 1598872 1798731 2198449 2398308 3597462 4396898 4796616 6595347 7194924 8793796 13190694 14389848 17587592 19786041 26381388 39572082 52762776 79144164 158288328