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97683201 = 32711314547
BaseRepresentation
bin1011101001010…
…00011100000001
320210210211011100
411310220130001
5200001330301
613405405013
72264202450
oct564503401
9223724140
1097683201
1150159920
1228869769
1317312115
14cd8ab97
158898286
hex5d28701

97683201 has 48 divisors (see below), whose sum is σ = 181628928. Its totient is φ = 49096800.

The previous prime is 97683191. The next prime is 97683203. The reversal of 97683201 is 10238679.

It is not a de Polignac number, because 97683201 - 25 = 97683169 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97683203) 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 47 ways as a sum of consecutive naturals, for example, 19210 + ... + 23756.

It is an arithmetic number, because the mean of its divisors is an integer number (3783936).

Almost surely, 297683201 is an apocalyptic number.

It is an amenable number.

97683201 is a deficient number, since it is larger than the sum of its proper divisors (83945727).

97683201 is a wasteful number, since it uses less digits than its factorization.

97683201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97683201 is about 9883.4812186800. The cubic root of 97683201 is about 460.5462964556.

The spelling of 97683201 in words is "ninety-seven million, six hundred eighty-three thousand, two hundred one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 4547 7161 13641 21483 31829 40923 50017 95487 140957 150051 286461 350119 422871 450153 986699 1050357 1268613 1550527 2960097 3151071 4651581 8880291 10853689 13954743 32561067 97683201