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85342416 = 2436129147
BaseRepresentation
bin1010001011000…
…11100011010000
312221120211210020
411011203203100
5133321424131
612245103440
72054253465
oct505434320
9187524706
1085342416
11441a0025
12246b7b80
13148b0c93
14b49766c
15775b996
hex51638d0

85342416 has 40 divisors (see below), whose sum is σ = 224089824. Its totient is φ = 27980160.

The previous prime is 85342391. The next prime is 85342427. The reversal of 85342416 is 61424358.

It is a congruent number.

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, 11646 + ... + 17501.

Almost surely, 285342416 is an apocalyptic number.

It is an amenable number.

85342416 is an abundant number, since it is smaller than the sum of its proper divisors (138747408).

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

85342416 is a wasteful number, since it uses less digits than its factorization.

85342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29219 (or 29213 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 85342416 is about 9238.0959077074. The cubic root of 85342416 is about 440.2725859154.

It can be divided in two parts, 85342 and 416, that added together give a palindrome (85758).

The spelling of 85342416 in words is "eighty-five million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 29147 58294 87441 116588 174882 233176 349764 466352 699528 1399056 1777967 3555934 5333901 7111868 10667802 14223736 21335604 28447472 42671208 85342416