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85542054 = 23132292909
BaseRepresentation
bin1010001100101…
…00010010100110
312221221222122020
411012110102212
5133344321204
612253244010
72056044513
oct506242246
9187858566
1085542054
1144317014
1224793606
1314950b00
14b50a30a
15779abd9
hex51944a6

85542054 has 48 divisors (see below), whose sum is σ = 191710800. Its totient is φ = 25404288.

The previous prime is 85542043. The next prime is 85542059. The reversal of 85542054 is 45024558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85542059) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27952 + ... + 30860.

It is an arithmetic number, because the mean of its divisors is an integer number (3993975).

Almost surely, 285542054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85542054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855400).

85542054 is an abundant number, since it is smaller than the sum of its proper divisors (106168746).

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

85542054 is a wasteful number, since it uses less digits than its factorization.

85542054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 85542054 is about 9248.8947447790. The cubic root of 85542054 is about 440.6156224150.

The spelling of 85542054 in words is "eighty-five million, five hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1131 2262 2909 4901 5818 8727 9802 14703 17454 29406 37817 75634 84361 113451 168722 226902 253083 491621 506166 983242 1096693 1474863 2193386 2949726 3290079 6580158 14257009 28514018 42771027 85542054