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83285752 = 2311297887
BaseRepresentation
bin1001111011011…
…01011011111000
312210201100120111
410331231123320
5132310121002
612133034104
72030626414
oct475553370
9183640514
1083285752
1143015900
1223a85934
1314340b14
14b0bdd44
1574a23d7
hex4f6d6f8

83285752 has 48 divisors (see below), whose sum is σ = 173612880. Its totient is φ = 37424640.

The previous prime is 83285749. The next prime is 83285753. The reversal of 83285752 is 25758238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83285753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93453 + ... + 94339.

It is an arithmetic number, because the mean of its divisors is an integer number (3616935).

Almost surely, 283285752 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 83285752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86806440).

83285752 is an abundant number, since it is smaller than the sum of its proper divisors (90327128).

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

83285752 is a wasteful number, since it uses less digits than its factorization.

83285752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 997 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 83285752 is about 9126.1027826778. The cubic root of 83285752 is about 436.7070842944.

The spelling of 83285752 in words is "eighty-three million, two hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 97 121 194 242 388 484 776 887 968 1067 1774 2134 3548 4268 7096 8536 9757 11737 19514 23474 39028 46948 78056 86039 93896 107327 172078 214654 344156 429308 688312 858616 946429 1892858 3785716 7571432 10410719 20821438 41642876 83285752