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87218484 = 223232511259
BaseRepresentation
bin1010011001011…
…01100100110100
320002010011021020
411030231210310
5134311442414
612353221140
72106226203
oct514554464
9202104236
1087218484
11452615a1
12252617b0
13150b9b92
14b82523a
1579cc7a9
hex532d934

87218484 has 48 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 27676000.

The previous prime is 87218479. The next prime is 87218489. The reversal of 87218484 is 48481278.

It is an interprime number because it is at equal distance from previous prime (87218479) and next prime (87218489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87218489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68647 + ... + 69905.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 287218484 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 87218484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

87218484 is an abundant number, since it is smaller than the sum of its proper divisors (126154956).

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

87218484 is a wasteful number, since it uses less digits than its factorization.

87218484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 87218484 is about 9339.0836809614. The cubic root of 87218484 is about 443.4753766240.

It can be divided in two parts, 8721 and 8484, that added together give a triangular number (17205 = T185).

The spelling of 87218484 in words is "eighty-seven million, two hundred eighteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1259 1506 2518 3012 3777 5036 5773 7554 11546 15108 17319 23092 28957 34638 57914 69276 86871 115828 173742 316009 347484 632018 948027 1264036 1896054 3792108 7268207 14536414 21804621 29072828 43609242 87218484