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87840852 = 223115911279
BaseRepresentation
bin1010011110001…
…01100001010100
320010021202222220
411033011201110
5134441401402
612414422340
72114430531
oct517054124
9203252886
1087840852
1145647150
12255019b0
1315277248
14b947d88
157aa1dbc
hex53c5854

87840852 has 48 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 26164960.

The previous prime is 87840847. The next prime is 87840899. The reversal of 87840852 is 25804878.

It is a super-3 number, since 3×878408523 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 13427.

It is an arithmetic number, because the mean of its divisors is an integer number (4737600).

Almost surely, 287840852 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 87840852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

87840852 is an abundant number, since it is smaller than the sum of its proper divisors (139563948).

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

87840852 is a wasteful number, since it uses less digits than its factorization.

87840852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 87840852 is about 9372.3450640701. The cubic root of 87840852 is about 444.5277184426.

The spelling of 87840852 in words is "eighty-seven million, eight hundred forty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 11279 22558 33837 45116 67674 124069 135348 248138 372207 496276 665461 744414 1330922 1488828 1996383 2661844 3992766 7320071 7985532 14640142 21960213 29280284 43920426 87840852