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85853416 = 23113113137
BaseRepresentation
bin1010001111000…
…00010011101000
312222112210202011
411013200103220
5133434302131
612304045304
72061512335
oct507402350
9188483664
1085853416
1144509a40
1224903834
1314a2c74c
14b58b98c
15780d0b1
hex51e04e8

85853416 has 32 divisors (see below), whose sum is σ = 176230080. Its totient is φ = 38886400.

The previous prime is 85853407. The next prime is 85853423. The reversal of 85853416 is 61435858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25800 + ... + 28936.

It is an arithmetic number, because the mean of its divisors is an integer number (5507190).

Almost surely, 285853416 is an apocalyptic number.

It is an amenable number.

85853416 is an abundant number, since it is smaller than the sum of its proper divisors (90376664).

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

85853416 is a wasteful number, since it uses less digits than its factorization.

85853416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3461 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 85853416 is about 9265.7118452928. The cubic root of 85853416 is about 441.1495697089.

The spelling of 85853416 in words is "eighty-five million, eight hundred fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 311 622 1244 2488 3137 3421 6274 6842 12548 13684 25096 27368 34507 69014 138028 276056 975607 1951214 3902428 7804856 10731677 21463354 42926708 85853416