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85430324 = 227371877
BaseRepresentation
bin1010001011110…
…01000000110100
312221202022101002
411011321000310
5133332232244
612251022432
72055101000
oct505710064
9187668332
1085430324
1144250081
122473aa18
1314911cb5
14b4bb700
157777a4e
hex5179034

85430324 has 48 divisors (see below), whose sum is σ = 177004800. Its totient is φ = 36056160.

The previous prime is 85430309. The next prime is 85430333. The reversal of 85430324 is 42303458.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 96974 + ... + 97850.

It is an arithmetic number, because the mean of its divisors is an integer number (3687600).

Almost surely, 285430324 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 85430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88502400).

85430324 is an abundant number, since it is smaller than the sum of its proper divisors (91574476).

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

85430324 is a wasteful number, since it uses less digits than its factorization.

85430324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 85430324 is about 9242.8525899746. The cubic root of 85430324 is about 440.4237034288.

The spelling of 85430324 in words is "eighty-five million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 343 497 686 877 994 1372 1754 1988 3479 3508 6139 6958 12278 13916 24353 24556 42973 48706 62267 85946 97412 124534 171892 249068 300811 435869 601622 871738 1203244 1743476 3051083 6102166 12204332 21357581 42715162 85430324