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97648353 = 32111951913
BaseRepresentation
bin1011101000111…
…11111011100001
320210202001100200
411310133323201
5144444221403
613404535413
72263666035
oct564377341
9223661320
1097648353
1150135720
1228851569
13172cc2ba
14cd7c1c5
15888cca3
hex5d1fee1

97648353 has 24 divisors (see below), whose sum is σ = 161971680. Its totient is φ = 56064960.

The previous prime is 97648351. The next prime is 97648361. The reversal of 97648353 is 35384679.

It is not a de Polignac number, because 97648353 - 21 = 97648351 is a prime.

It is a super-2 number, since 2×976483532 = 19070401687225218, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97648299 and 97648308.

It is not an unprimeable number, because it can be changed into a prime (97648351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24076 + ... + 27837.

It is an arithmetic number, because the mean of its divisors is an integer number (6748820).

Almost surely, 297648353 is an apocalyptic number.

It is an amenable number.

97648353 is a deficient number, since it is larger than the sum of its proper divisors (64323327).

97648353 is a wasteful number, since it uses less digits than its factorization.

97648353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51949 (or 51946 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 97648353 is about 9881.7181198413. The cubic root of 97648353 is about 460.4915240688.

The spelling of 97648353 in words is "ninety-seven million, six hundred forty-eight thousand, three hundred fifty-three".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 51913 155739 467217 571043 986347 1713129 2959041 5139387 8877123 10849817 32549451 97648353