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85229056 = 291137409
BaseRepresentation
bin1010001010001…
…11111000000000
312221101002021201
411011013320000
5133304312211
612242430544
72053302133
oct505077000
9187332251
1085229056
1144122940
1224662454
13148714c3
14b46821a
1577380c1
hex5147e00

85229056 has 80 divisors (see below), whose sum is σ = 191260080. Its totient is φ = 37601280.

The previous prime is 85229047. The next prime is 85229059. The reversal of 85229056 is 65092258.

It is a happy number.

It is a super-2 number, since 2×852290562 = 14527983973302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85229059) 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, 208180 + ... + 208588.

It is an arithmetic number, because the mean of its divisors is an integer number (2390751).

Almost surely, 285229056 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 85229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95630040).

85229056 is an abundant number, since it is smaller than the sum of its proper divisors (106031024).

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

85229056 is a wasteful number, since it uses less digits than its factorization.

85229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 85229056 is about 9231.9584054522. The cubic root of 85229056 is about 440.0775620843.

It can be divided in two parts, 8522 and 9056, that added together give a triangular number (17578 = T187).

The spelling of 85229056 in words is "eighty-five million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 409 512 592 704 814 818 1184 1408 1628 1636 2368 2816 3256 3272 4499 4736 5632 6512 6544 8998 9472 13024 13088 15133 17996 18944 26048 26176 30266 35992 52096 52352 60532 71984 104192 104704 121064 143968 166463 208384 209408 242128 287936 332926 484256 575872 665852 968512 1151744 1331704 1937024 2303488 2663408 3874048 5326816 7748096 10653632 21307264 42614528 85229056