Search a number
-
+
87425082 = 235296203
BaseRepresentation
bin1010011011000…
…00000000111010
320002111122200000
411031200000322
5134340100312
612401453430
72111046423
oct515400072
9202448600
1087425082
1145392838
1225341276
131515cc24
14b87a64a
157a1dadc
hex536003a

87425082 has 48 divisors (see below), whose sum is σ = 203243040. Its totient is φ = 28132272.

The previous prime is 87425081. The next prime is 87425083. The reversal of 87425082 is 28052478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87425081) and next prime (87425083).

It is not an unprimeable number, because it can be changed into a prime (87425081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10993 + ... + 17195.

It is an arithmetic number, because the mean of its divisors is an integer number (4234230).

Almost surely, 287425082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87425082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101621520).

87425082 is an abundant number, since it is smaller than the sum of its proper divisors (115817958).

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

87425082 is a wasteful number, since it uses less digits than its factorization.

87425082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87425082 is about 9350.1380738468. The cubic root of 87425082 is about 443.8252599456.

It can be divided in two parts, 8742 and 5082, that added together give a cube (13824 = 243).

The spelling of 87425082 in words is "eighty-seven million, four hundred twenty-five thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 6203 7047 12406 14094 18609 37218 55827 111654 167481 179887 334962 359774 502443 539661 1004886 1079322 1507329 1618983 3014658 3237966 4856949 9713898 14570847 29141694 43712541 87425082