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97235328 = 273313809
BaseRepresentation
bin1011100101110…
…11000110000000
320202222001210110
411302323012000
5144343012303
613352031320
72260325631
oct562730600
9222861713
1097235328
114a983383
1228692540
13171b62c8
14ccb1888
15880a703
hex5cbb180

97235328 has 64 divisors (see below), whose sum is σ = 259426800. Its totient is φ = 32268288.

The previous prime is 97235321. The next prime is 97235351. The reversal of 97235328 is 82353279.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×972353282 = 18909418022535168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97235321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119788 + ... + 120596.

Almost surely, 297235328 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 97235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129713400).

97235328 is an abundant number, since it is smaller than the sum of its proper divisors (162191472).

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

97235328 is a wasteful number, since it uses less digits than its factorization.

97235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 97235328 is about 9860.7975336684. The cubic root of 97235328 is about 459.8413567621.

It can be divided in two parts, 9723 and 5328, that added together give a palindrome (15051).

The spelling of 97235328 in words is "ninety-seven million, two hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 809 939 1252 1618 1878 2427 2504 3236 3756 4854 5008 6472 7512 9708 10016 12944 15024 19416 20032 25888 30048 38832 40064 51776 60096 77664 103552 120192 155328 253217 310656 506434 759651 1012868 1519302 2025736 3038604 4051472 6077208 8102944 12154416 16205888 24308832 32411776 48617664 97235328