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93643201 = 2413371153
BaseRepresentation
bin1011001010011…
…10000111000001
320112012120022201
411211032013001
5142433040301
613143033201
72214645151
oct545160701
9215176281
1093643201
114894a583
122743b801
13165292a2
14c618761
15834b201
hex594e1c1

93643201 has 8 divisors (see below), whose sum is σ = 94392584. Its totient is φ = 92897280.

The previous prime is 93643183. The next prime is 93643243. The reversal of 93643201 is 10234639.

It can be written as a sum of positive squares in 4 ways, for example, as 26419600 + 67223601 = 5140^2 + 8199^2 .

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

It is a 3-Lehmer number, since φ(93643201) divides (93643201-1)3.

It is a cyclic number.

It is not a de Polignac number, because 93643201 - 211 = 93641153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93643201.

It is not an unprimeable number, because it can be changed into a prime (93643271) 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, 80641 + ... + 81793.

It is an arithmetic number, because the mean of its divisors is an integer number (11799073).

It is a Poulet number, since it divides 293643200-1.

Almost surely, 293643201 is an apocalyptic number.

It is an amenable number.

93643201 is a deficient number, since it is larger than the sum of its proper divisors (749383).

93643201 is a wasteful number, since it uses less digits than its factorization.

93643201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 93643201 is about 9676.9417172989. The cubic root of 93643201 is about 454.1075789620.

The spelling of 93643201 in words is "ninety-three million, six hundred forty-three thousand, two hundred one".

Divisors: 1 241 337 1153 81217 277873 388561 93643201