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85559552 = 281347547
BaseRepresentation
bin1010001100110…
…00100100000000
312221222212122022
411012120210000
5133400401202
612253501012
72056146521
oct506304400
9187885568
1085559552
1144329181
12247a1768
1314958a70
14b512848
1577a0ea2
hex5198900

85559552 has 72 divisors (see below), whose sum is σ = 188178816. Its totient is φ = 38578176.

The previous prime is 85559533. The next prime is 85559557. The reversal of 85559552 is 25595558.

It is not an unprimeable number, because it can be changed into a prime (85559557) 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, 156143 + ... + 156689.

Almost surely, 285559552 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 85559552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089408).

85559552 is an abundant number, since it is smaller than the sum of its proper divisors (102619264).

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

85559552 is a wasteful number, since it uses less digits than its factorization.

85559552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

The product of its digits is 450000, while the sum is 44.

The square root of 85559552 is about 9249.8406472760. The cubic root of 85559552 is about 440.6456636487.

The spelling of 85559552 in words is "eighty-five million, five hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 547 611 752 832 1094 1222 1504 1664 2188 2444 3008 3328 4376 4888 6016 7111 8752 9776 12032 14222 17504 19552 25709 28444 35008 39104 51418 56888 70016 78208 102836 113776 140032 156416 205672 227552 334217 411344 455104 668434 822688 910208 1336868 1645376 1820416 2673736 3290752 5347472 6581504 10694944 21389888 42779776 85559552