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85030088 = 231121329233
BaseRepresentation
bin1010001000101…
…11010011001000
312220222222100112
411010113103020
5133231430323
612234253452
72051513063
oct504272310
9186888315
1085030088
1143aa7400
1224587288
1314801a80
14b4158da
1576e9178
hex51174c8

85030088 has 96 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 34298880.

The previous prime is 85030069. The next prime is 85030109. The reversal of 85030088 is 88003058.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46812964 + 38217124 = 6842^2 + 6182^2 .

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 23 ways as a sum of consecutive naturals, for example, 364820 + ... + 365052.

Almost surely, 285030088 is an apocalyptic number.

85030088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85030088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

85030088 is an abundant number, since it is smaller than the sum of its proper divisors (111038512).

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

85030088 is a wasteful number, since it uses less digits than its factorization.

85030088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85030088 is about 9221.1760638218. The cubic root of 85030088 is about 439.7348402373.

The spelling of 85030088 in words is "eighty-five million, thirty thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 121 143 232 233 242 286 319 377 466 484 572 638 754 932 968 1144 1276 1508 1573 1864 2552 2563 3016 3029 3146 3509 4147 5126 6058 6292 6757 7018 8294 10252 12116 12584 13514 14036 16588 20504 24232 27028 28072 28193 33176 33319 45617 54056 56386 66638 74327 87841 91234 112772 133276 148654 175682 182468 225544 266552 297308 351364 364936 366509 594616 702728 733018 817597 966251 1466036 1635194 1932502 2932072 3270388 3865004 6540776 7730008 10628761 21257522 42515044 85030088