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85563296 = 2571329383
BaseRepresentation
bin1010001100110…
…01011110100000
312222000001202222
411012121132200
5133401011141
612253530212
72056163450
oct506313640
9188001688
1085563296
1144330a75
12247a3968
131495a690
14b513d60
1577a214b
hex51997a0

85563296 has 48 divisors (see below), whose sum is σ = 207333504. Its totient is φ = 33848064.

The previous prime is 85563293. The next prime is 85563301. The reversal of 85563296 is 69236558.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85563293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11780 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (4319448).

Almost surely, 285563296 is an apocalyptic number.

It is an amenable number.

85563296 is an abundant number, since it is smaller than the sum of its proper divisors (121770208).

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

85563296 is a wasteful number, since it uses less digits than its factorization.

85563296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29413 (or 29405 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 85563296 is about 9250.0430269270. The cubic root of 85563296 is about 440.6520909588.

The spelling of 85563296 in words is "eighty-five million, five hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 29383 58766 117532 205681 235064 381979 411362 470128 763958 822724 940256 1527916 1645448 2673853 3055832 3290896 5347706 6111664 6581792 10695412 12223328 21390824 42781648 85563296