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85465548 = 223272291481
BaseRepresentation
bin1010001100000…
…01100111001100
312221211002200200
411012001213030
5133334344143
612251453500
72055305460
oct506014714
9187732620
1085465548
1144274593
1224757290
131492503c
14b4ca4a0
1577831d3
hex51819cc

85465548 has 72 divisors (see below), whose sum is σ = 248146080. Its totient is φ = 24295680.

The previous prime is 85465537. The next prime is 85465573. The reversal of 85465548 is 84556458.

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 23 ways as a sum of consecutive naturals, for example, 56968 + ... + 58448.

Almost surely, 285465548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85465548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124073040).

85465548 is an abundant number, since it is smaller than the sum of its proper divisors (162680532).

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

85465548 is a wasteful number, since it uses less digits than its factorization.

85465548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 85465548 is about 9244.7578659476. The cubic root of 85465548 is about 440.4842258607.

The spelling of 85465548 in words is "eighty-five million, four hundred sixty-five thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1481 1603 2061 2748 2962 3206 4122 4443 4809 5924 6412 8244 8886 9618 10367 13329 14427 17772 19236 20734 26658 28854 31101 41468 53316 57708 62202 93303 124404 186606 339149 373212 678298 1017447 1356596 2034894 2374043 3052341 4069788 4748086 6104682 7122129 9496172 12209364 14244258 21366387 28488516 42732774 85465548