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97745536 = 27743259
BaseRepresentation
bin1011101001101…
…11101010000000
320210220222200001
411310313222000
5200010324121
613411005344
72264552260
oct564675200
9223828601
1097745536
11501a1739
1228899854
13173345c5
14cda57a0
1588ab991
hex5d37a80

97745536 has 96 divisors (see below), whose sum is σ = 231703200. Its totient is φ = 40223232.

The previous prime is 97745533. The next prime is 97745551. The reversal of 97745536 is 63554779.

It is not an unprimeable number, because it can be changed into a prime (97745533) 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 11 ways as a sum of consecutive naturals, for example, 1656675 + ... + 1656733.

It is an arithmetic number, because the mean of its divisors is an integer number (2413575).

Almost surely, 297745536 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 97745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115851600).

97745536 is an abundant number, since it is smaller than the sum of its proper divisors (133957664).

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

97745536 is an equidigital number, since it uses as much as digits as its factorization.

97745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 111 counting only the distinct ones).

The product of its digits is 793800, while the sum is 46.

The square root of 97745536 is about 9886.6342098815. The cubic root of 97745536 is about 460.6442390862.

The spelling of 97745536 in words is "ninety-seven million, seven hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 59 64 86 112 118 128 172 224 236 301 344 413 448 472 602 688 826 896 944 1204 1376 1652 1849 1888 2408 2537 2752 3304 3698 3776 4816 5074 5504 6608 7396 7552 9632 10148 12943 13216 14792 17759 19264 20296 25886 26432 29584 35518 38528 40592 51772 52864 59168 71036 81184 103544 109091 118336 142072 162368 207088 218182 236672 284144 324736 414176 436364 568288 763637 828352 872728 1136576 1527274 1656704 1745456 2273152 3054548 3490912 6109096 6981824 12218192 13963648 24436384 48872768 97745536