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86542002 = 232172771021
BaseRepresentation
bin1010010100010…
…00011010110010
320000211210022100
411022020122302
5134123321002
612330521230
72100411021
oct512103262
9200753270
1086542002
114493a318
1224b96216
1314c10cb1
14b6ca8b8
1578e711c
hex52886b2

86542002 has 48 divisors (see below), whose sum is σ = 199449432. Its totient is φ = 27025920.

The previous prime is 86541989. The next prime is 86542037. The reversal of 86542002 is 20024568.

86542002 is a `hidden beast` number, since 8 + 654 + 2 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74494161 + 12047841 = 8631^2 + 3471^2 .

It is a super-2 number, since 2×865420022 = 14979036220336008, which contains 22 as substring.

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, 84252 + ... + 85272.

Almost surely, 286542002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86542002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99724716).

86542002 is an abundant number, since it is smaller than the sum of its proper divisors (112907430).

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

86542002 is a wasteful number, since it uses less digits than its factorization.

86542002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86542002 is about 9302.7953863342. The cubic root of 86542002 is about 442.3258416431.

The spelling of 86542002 in words is "eighty-six million, five hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 554 831 1021 1662 2042 2493 3063 4709 4986 6126 9189 9418 14127 17357 18378 28254 34714 42381 52071 84762 104142 156213 282817 312426 565634 848451 1696902 2545353 4807889 5090706 9615778 14423667 28847334 43271001 86542002