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85780332 = 223211216617
BaseRepresentation
bin1010001110011…
…10011101101100
312222102002111100
411013032131230
5133424432312
612302323100
72061056301
oct507163554
9188362440
1085780332
114446a040
1224889490
1314a053c1
14b56d0a8
1577e65dc
hex51ce76c

85780332 has 36 divisors (see below), whose sum is σ = 236546856. Its totient is φ = 25993920.

The previous prime is 85780309. The next prime is 85780337. The reversal of 85780332 is 23308758.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×857803323 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85780337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107913 + ... + 108704.

It is an arithmetic number, because the mean of its divisors is an integer number (6570746).

Almost surely, 285780332 is an apocalyptic number.

It is an amenable number.

85780332 is an abundant number, since it is smaller than the sum of its proper divisors (150766524).

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

85780332 is a wasteful number, since it uses less digits than its factorization.

85780332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216638 (or 216633 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85780332 is about 9261.7672179774. The cubic root of 85780332 is about 441.0243557900.

The spelling of 85780332 in words is "eighty-five million, seven hundred eighty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 216617 433234 649851 866468 1299702 1949553 2382787 2599404 3899106 4765574 7148361 7798212 9531148 14296722 21445083 28593444 42890166 85780332