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85558752 = 2532297079
BaseRepresentation
bin1010001100110…
…00010111100000
312221222211112200
411012120113200
5133400340002
612253453200
72056144266
oct506302740
9187884480
1085558752
1144328614
12247a1200
13149585a6
14b512436
1577a0b1c
hex51985e0

85558752 has 36 divisors (see below), whose sum is σ = 243308520. Its totient is φ = 28519488.

The previous prime is 85558723. The next prime is 85558771. The reversal of 85558752 is 25785558.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 85558698 and 85558707.

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 5 ways as a sum of consecutive naturals, for example, 148252 + ... + 148827.

It is an arithmetic number, because the mean of its divisors is an integer number (6758570).

Almost surely, 285558752 is an apocalyptic number.

It is an amenable number.

85558752 is an abundant number, since it is smaller than the sum of its proper divisors (157749768).

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

85558752 is a wasteful number, since it uses less digits than its factorization.

85558752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297095 (or 297084 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The square root of 85558752 is about 9249.7974031867. The cubic root of 85558752 is about 440.6442902676.

The spelling of 85558752 in words is "eighty-five million, five hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 297079 594158 891237 1188316 1782474 2376632 2673711 3564948 4753264 5347422 7129896 9506528 10694844 14259792 21389688 28519584 42779376 85558752