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97088352 = 2533373001
BaseRepresentation
bin1011100100101…
…11001101100000
320202200121011220
411302113031200
5144323311402
613344535040
72256144264
oct562271540
9222617156
1097088352
114a892a09
1228621480
131716443a
14cc740a4
1587cbdbc
hex5c97360

97088352 has 48 divisors (see below), whose sum is σ = 255698352. Its totient is φ = 32256000.

The previous prime is 97088351. The next prime is 97088389. The reversal of 97088352 is 25388079.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×970883522 = 18852296188151808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97088351) 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 7 ways as a sum of consecutive naturals, for example, 30852 + ... + 33852.

It is an arithmetic number, because the mean of its divisors is an integer number (5327049).

Almost surely, 297088352 is an apocalyptic number.

It is an amenable number.

97088352 is an abundant number, since it is smaller than the sum of its proper divisors (158610000).

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

97088352 is a wasteful number, since it uses less digits than its factorization.

97088352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 97088352 is about 9853.3421741052. The cubic root of 97088352 is about 459.6095489536.

The spelling of 97088352 in words is "ninety-seven million, eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 674 1011 1348 2022 2696 3001 4044 5392 6002 8088 9003 10784 12004 16176 18006 24008 32352 36012 48016 72024 96032 144048 288096 1011337 2022674 3034011 4045348 6068022 8090696 12136044 16181392 24272088 32362784 48544176 97088352