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85492224 = 293218553
BaseRepresentation
bin1010001100010…
…00001000000000
312221212110021200
411012020020000
5133341222344
612252221200
72055446316
oct506101000
9187773250
1085492224
1144292634
122476a800
131493421c
14b4d60b6
15778b069
hex5188200

85492224 has 60 divisors (see below), whose sum is σ = 246749646. Its totient is φ = 28495872.

The previous prime is 85492223. The next prime is 85492291. The reversal of 85492224 is 42229458.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 1440000 = 9168^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85492223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4669 + ... + 13884.

Almost surely, 285492224 is an apocalyptic number.

It is an amenable number.

85492224 is an abundant number, since it is smaller than the sum of its proper divisors (161257422).

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

85492224 is a wasteful number, since it uses less digits than its factorization.

85492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18577 (or 18558 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 85492224 is about 9246.2005169691. The cubic root of 85492224 is about 440.5300499195.

The spelling of 85492224 in words is "eighty-five million, four hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 18553 37106 55659 74212 111318 148424 166977 222636 296848 333954 445272 593696 667908 890544 1187392 1335816 1781088 2374784 2671632 3562176 4749568 5343264 7124352 9499136 10686528 14248704 21373056 28497408 42746112 85492224