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86993082 = 233111371069
BaseRepresentation
bin1010010111101…
…10100010111010
320001200201002000
411023312202322
5134232234312
612344321430
72104300101
oct513664272
9201621060
1086993082
1145118210
1225173276
131503b3c7
14b7a7038
157985adc
hex52f68ba

86993082 has 64 divisors (see below), whose sum is σ = 212630400. Its totient is φ = 26144640.

The previous prime is 86993003. The next prime is 86993083. The reversal of 86993082 is 28039968.

It is not an unprimeable number, because it can be changed into a prime (86993083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80844 + ... + 81912.

It is an arithmetic number, because the mean of its divisors is an integer number (3322350).

Almost surely, 286993082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86993082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106315200).

86993082 is an abundant number, since it is smaller than the sum of its proper divisors (125637318).

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

86993082 is a wasteful number, since it uses less digits than its factorization.

86993082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 86993082 is about 9327.0082019906. The cubic root of 86993082 is about 443.0930170353.

It can be divided in two parts, 8699 and 3082, that added together give a triangular number (11781 = T153).

The spelling of 86993082 in words is "eighty-six million, nine hundred ninety-three thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 137 198 274 297 411 594 822 1069 1233 1507 2138 2466 3014 3207 3699 4521 6414 7398 9042 9621 11759 13563 19242 23518 27126 28863 35277 40689 57726 70554 81378 105831 146453 211662 292906 317493 439359 634986 878718 1318077 1610983 2636154 3221966 3954231 4832949 7908462 9665898 14498847 28997694 43496541 86993082