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83420425 = 5211323109
BaseRepresentation
bin1001111100011…
…10010100001001
312210222012022101
410332032110021
5132323423200
612135553401
72032030144
oct476162411
9183865271
1083420425
11430a8000
1223b2b861
131438a1ca
14b11705b
1574cc26a
hex4f8e509

83420425 has 48 divisors (see below), whose sum is σ = 119813760. Its totient is φ = 57499200.

The previous prime is 83420417. The next prime is 83420429. The reversal of 83420425 is 52402438.

83420425 = T35 + T36 + ... + T793.

It is not a de Polignac number, because 83420425 - 23 = 83420417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83420393 and 83420402.

It is not an unprimeable number, because it can be changed into a prime (83420429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765271 + ... + 765379.

It is an arithmetic number, because the mean of its divisors is an integer number (2496120).

Almost surely, 283420425 is an apocalyptic number.

It is an amenable number.

83420425 is a deficient number, since it is larger than the sum of its proper divisors (36393335).

83420425 is a wasteful number, since it uses less digits than its factorization.

83420425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 83420425 is about 9133.4782531082. The cubic root of 83420425 is about 436.9423425476.

It can be divided in two parts, 83420 and 425, that added together give a triangular number (83845 = T409).

The spelling of 83420425 in words is "eighty-three million, four hundred twenty thousand, four hundred twenty-five".

Divisors: 1 5 11 23 25 55 109 115 121 253 275 545 575 605 1199 1265 1331 2507 2725 2783 3025 5995 6325 6655 12535 13189 13915 27577 29975 30613 33275 62675 65945 69575 137885 145079 153065 303347 329725 689425 725395 765325 1516735 3336817 3626975 7583675 16684085 83420425