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85848144 = 2432377761
BaseRepresentation
bin1010001110111…
…11000001010000
312222112112111220
411013133001100
5133434120034
612304005040
72061461064
oct507370120
9188475456
1085848144
1144505a88
1224900780
1314a2a225
14b589aa4
15780b749
hex51df050

85848144 has 40 divisors (see below), whose sum is σ = 231419712. Its totient is φ = 27371520.

The previous prime is 85848109. The next prime is 85848157. The reversal of 85848144 is 44184858.

It is a junction number, because it is equal to n+sod(n) for n = 85848096 and 85848105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37777 + ... + 39984.

Almost surely, 285848144 is an apocalyptic number.

It is an amenable number.

85848144 is an abundant number, since it is smaller than the sum of its proper divisors (145571568).

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

85848144 is a wasteful number, since it uses less digits than its factorization.

85848144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77795 (or 77789 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 85848144 is about 9265.4273511803. The cubic root of 85848144 is about 441.1405396348.

The spelling of 85848144 in words is "eighty-five million, eight hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 77761 155522 233283 311044 466566 622088 933132 1244176 1788503 1866264 3577006 3732528 5365509 7154012 10731018 14308024 21462036 28616048 42924072 85848144