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83218629 = 3132133811
BaseRepresentation
bin1001111010111…
…01000011000101
312210120221111110
410331131003011
5132300444004
612131355233
72030226624
oct475350305
9183527443
1083218629
1142a7a42a
1223a52b19
13143193c0
14b0a36bb
15748c589
hex4f5d0c5

83218629 has 8 divisors (see below), whose sum is σ = 119493472. Its totient is φ = 51211440.

The previous prime is 83218627. The next prime is 83218633. The reversal of 83218629 is 92681238.

It is a happy number.

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

It is not a de Polignac number, because 83218629 - 21 = 83218627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 2133811 = 83218629 / (8 + 3 + 2 + 1 + 8 + 6 + 2 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83218627) 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, 1066867 + ... + 1066944.

It is an arithmetic number, because the mean of its divisors is an integer number (14936684).

Almost surely, 283218629 is an apocalyptic number.

It is an amenable number.

83218629 is a deficient number, since it is larger than the sum of its proper divisors (36274843).

83218629 is a wasteful number, since it uses less digits than its factorization.

83218629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133827.

The product of its digits is 41472, while the sum is 39.

The square root of 83218629 is about 9122.4245132530. The cubic root of 83218629 is about 436.5897334180.

The spelling of 83218629 in words is "eighty-three million, two hundred eighteen thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 2133811 6401433 27739543 83218629