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83820401 = 753225931
BaseRepresentation
bin1001111111011…
…11111101110001
312211201111222022
410333233331301
5132424223101
612152321225
72035314230
oct477577561
9184644868
1083820401
1143350565
12240a3215
131449a292
14b1bcb17
15755aa1b
hex4feff71

83820401 has 8 divisors (see below), whose sum is σ = 97602624. Its totient is φ = 70490160.

The previous prime is 83820391. The next prime is 83820413. The reversal of 83820401 is 10402838.

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

It is a cyclic number.

It is not a de Polignac number, because 83820401 - 26 = 83820337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83820101) 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, 112595 + ... + 113336.

It is an arithmetic number, because the mean of its divisors is an integer number (12200328).

Almost surely, 283820401 is an apocalyptic number.

It is an amenable number.

83820401 is a deficient number, since it is larger than the sum of its proper divisors (13782223).

83820401 is a wasteful number, since it uses less digits than its factorization.

83820401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225991.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 83820401 is about 9155.3482183913. The cubic root of 83820401 is about 437.6395653778.

The spelling of 83820401 in words is "eighty-three million, eight hundred twenty thousand, four hundred one".

Divisors: 1 7 53 371 225931 1581517 11974343 83820401