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85988420 = 22573119813
BaseRepresentation
bin1010010000000…
…01010001000100
312222210122221022
411020001101010
5134003112140
612311010312
72062614050
oct510012104
9188718838
1085988420
11445a1411
1224969998
1314a7902b
14b5c4c60
1578380b5
hex5201444

85988420 has 48 divisors (see below), whose sum is σ = 213040128. Its totient is φ = 28529280.

The previous prime is 85988411. The next prime is 85988453. The reversal of 85988420 is 2488958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5567 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (4438336).

Almost surely, 285988420 is an apocalyptic number.

It is an amenable number.

85988420 is an abundant number, since it is smaller than the sum of its proper divisors (127051708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85988420 is a wasteful number, since it uses less digits than its factorization.

85988420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19860 (or 19858 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 85988420 is about 9272.9941227200. The cubic root of 85988420 is about 441.3806836582.

The spelling of 85988420 in words is "eighty-five million, nine hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 19813 39626 79252 99065 138691 198130 277382 396260 554764 614203 693455 1228406 1386910 2456812 2773820 3071015 4299421 6142030 8598842 12284060 17197684 21497105 42994210 85988420