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93945601 = 1136411297
BaseRepresentation
bin1011001100101…
…11111100000001
320112202221010201
411212113330001
5143022224401
613153325201
72220344611
oct546277401
9215687121
1093945601
11490367a2
1227566801
1316603b19
14c696a41
1583aab01
hex5997f01

93945601 has 8 divisors (see below), whose sum is σ = 94998024. Its totient is φ = 92897280.

The previous prime is 93945589. The next prime is 93945611. The reversal of 93945601 is 10654939.

It can be written as a sum of positive squares in 4 ways, for example, as 35820225 + 58125376 = 5985^2 + 7624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(93945601) divides (93945601-1)2.

It is a cyclic number.

It is not a de Polignac number, because 93945601 - 25 = 93945569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93945611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71785 + ... + 73081.

It is an arithmetic number, because the mean of its divisors is an integer number (11874753).

Almost surely, 293945601 is an apocalyptic number.

It is an amenable number.

93945601 is a deficient number, since it is larger than the sum of its proper divisors (1052423).

93945601 is a wasteful number, since it uses less digits than its factorization.

93945601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 93945601 is about 9692.5538946142. The cubic root of 93945601 is about 454.5958670523.

The spelling of 93945601 in words is "ninety-three million, nine hundred forty-five thousand, six hundred one".

Divisors: 1 113 641 1297 72433 146561 831377 93945601