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85528440 = 2333579193
BaseRepresentation
bin1010001100100…
…00111101111000
312221221021222000
411012100331320
5133343402230
612253101000
72055660024
oct506207570
9187837860
1085528440
1144307868
1224787760
131494785a
14b505384
157796b60
hex5190f78

85528440 has 64 divisors (see below), whose sum is σ = 285098400. Its totient is φ = 22807296.

The previous prime is 85528439. The next prime is 85528441. The reversal of 85528440 is 4482558.

It is an interprime number because it is at equal distance from previous prime (85528439) and next prime (85528441).

It is a super-2 number, since 2×855284402 = 14630228097667200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 85528395 and 85528404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85528441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38517 + ... + 40676.

Almost surely, 285528440 is an apocalyptic number.

It is an amenable number.

85528440 is an abundant number, since it is smaller than the sum of its proper divisors (199569960).

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

85528440 is a wasteful number, since it uses less digits than its factorization.

85528440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79213 (or 79203 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85528440 is about 9248.1587356619. The cubic root of 85528440 is about 440.5922465468.

The spelling of 85528440 in words is "eighty-five million, five hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 79193 158386 237579 316772 395965 475158 633544 712737 791930 950316 1187895 1425474 1583860 1900632 2138211 2375790 2850948 3167720 3563685 4276422 4751580 5701896 7127370 8552844 9503160 10691055 14254740 17105688 21382110 28509480 42764220 85528440