Search a number
-
+
97236288 = 263418757
BaseRepresentation
bin1011100101110…
…11010101000000
320202222010010000
411302323111000
5144343030123
613352040000
72260331502
oct562732500
9222863100
1097236288
114a984076
1228693000
13171b6886
14ccb1d72
15880ab43
hex5cbb540

97236288 has 70 divisors (see below), whose sum is σ = 288254186. Its totient is φ = 32410368.

The previous prime is 97236233. The next prime is 97236289. The reversal of 97236288 is 88263279.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 10969344 = 9288^2 + 3312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97236289) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4195 + ... + 14562.

Almost surely, 297236288 is an apocalyptic number.

It is an amenable number.

97236288 is an abundant number, since it is smaller than the sum of its proper divisors (191017898).

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

97236288 is a wasteful number, since it uses less digits than its factorization.

97236288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781 (or 18762 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 97236288 is about 9860.8462111525. The cubic root of 97236288 is about 459.8428700881.

The spelling of 97236288 in words is "ninety-seven million, two hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 18757 37514 56271 75028 112542 150056 168813 225084 300112 337626 450168 506439 600224 675252 900336 1012878 1200448 1350504 1519317 1800672 2025756 2701008 3038634 3601344 4051512 5402016 6077268 8103024 10804032 12154536 16206048 24309072 32412096 48618144 97236288