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85519420 = 22571314663
BaseRepresentation
bin1010001100011…
…10110000111100
312221220211120221
411012032300330
5133343110140
612252551124
72055621520
oct506166074
9187824527
1085519420
1144301008
12247824a4
131494370c
14b501d80
15779414a
hex518ec3c

85519420 has 48 divisors (see below), whose sum is σ = 206857728. Its totient is φ = 29090880.

The previous prime is 85519411. The next prime is 85519439. The reversal of 85519420 is 2491558.

It is a congruent number.

It is an unprimeable number.

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, 16009 + ... + 20671.

It is an arithmetic number, because the mean of its divisors is an integer number (4309536).

Almost surely, 285519420 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 85519420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428864).

85519420 is an abundant number, since it is smaller than the sum of its proper divisors (121338308).

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

85519420 is a wasteful number, since it uses less digits than its factorization.

85519420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 85519420 is about 9247.6710581638. The cubic root of 85519420 is about 440.5767574230.

It can be divided in two parts, 8551 and 9420, that added together give a palindrome (17971).

The spelling of 85519420 in words is "eighty-five million, five hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 4663 9170 9326 18340 18652 23315 32641 46630 65282 93260 130564 163205 326410 610853 652820 1221706 2443412 3054265 4275971 6108530 8551942 12217060 17103884 21379855 42759710 85519420