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97081608 = 23313379821
BaseRepresentation
bin1011100100101…
…01100100001000
320202200020221010
411302111210020
5144323102413
613344443520
72256115521
oct562254410
9222606833
1097081608
114a888938
12286195a0
1317161350
14cc71848
1587c9dc3
hex5c95908

97081608 has 64 divisors (see below), whose sum is σ = 262382400. Its totient is φ = 29756160.

The previous prime is 97081601. The next prime is 97081627. The reversal of 97081608 is 80618079.

It is a Cunningham number, because it is equal to 98532-1.

It is a super-2 number, since 2×970816082 = 18849677223731328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (97081601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117838 + ... + 118658.

It is an arithmetic number, because the mean of its divisors is an integer number (4099725).

Almost surely, 297081608 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 97081608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131191200).

97081608 is an abundant number, since it is smaller than the sum of its proper divisors (165300792).

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

97081608 is a wasteful number, since it uses less digits than its factorization.

97081608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 97081608 is about 9852.9999492540. Note that the first 4 decimals coincide. The cubic root of 97081608 is about 459.5989068305.

The spelling of 97081608 in words is "ninety-seven million, eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 379 758 821 1137 1516 1642 2274 2463 3032 3284 4548 4926 4927 6568 9096 9852 9854 10673 14781 19704 19708 21346 29562 32019 39416 42692 59124 64038 85384 118248 128076 256152 311159 622318 933477 1244636 1866954 2489272 3733908 4045067 7467816 8090134 12135201 16180268 24270402 32360536 48540804 97081608