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3828001 = 101151251
BaseRepresentation
bin1110100110100100100001
321012111000211
432212210201
51434444001
6214014121
744352232
oct16464441
97174024
103828001
112185041
121347341
13a404b8
14719089
15509351
hex3a6921

3828001 has 8 divisors (see below), whose sum is σ = 3907008. Its totient is φ = 3750000.

The previous prime is 3827981. The next prime is 3828007. The reversal of 3828001 is 1008283.

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

It is a 3-Lehmer number, since φ(3828001) divides (3828001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 3828001 - 29 = 3827489 is a prime.

It is a deceptive number, since it divides R3828000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3828007) 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, 15126 + ... + 15376.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

It is a Poulet number, since it divides 23828000-1.

Almost surely, 23828001 is an apocalyptic number.

It is an amenable number.

3828001 is a deficient number, since it is larger than the sum of its proper divisors (79007).

3828001 is a wasteful number, since it uses less digits than its factorization.

3828001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 3828001 is about 1956.5277917781. The cubic root of 3828001 is about 156.4314295716.

The spelling of 3828001 in words is "three million, eight hundred twenty-eight thousand, one".

Divisors: 1 101 151 251 15251 25351 37901 3828001