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87980382 = 23272234337
BaseRepresentation
bin1010011111001…
…11100101011110
320010112212101200
411033213211132
5140010333012
612421420330
72115551400
oct517474536
9203485350
1087980382
1145731a66
122556a6a6
13152c58c9
14b982b70
157acd3dc
hex53e795e

87980382 has 72 divisors (see below), whose sum is σ = 231440976. Its totient is φ = 24038784.

The previous prime is 87980369. The next prime is 87980479. The reversal of 87980382 is 28308978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18118 + ... + 22454.

It is an arithmetic number, because the mean of its divisors is an integer number (3214458).

Almost surely, 287980382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87980382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115720488).

87980382 is an abundant number, since it is smaller than the sum of its proper divisors (143460594).

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

87980382 is a wasteful number, since it uses less digits than its factorization.

87980382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87980382 is about 9379.7858184502. The cubic root of 87980382 is about 444.7629625957.

The spelling of 87980382 in words is "eighty-seven million, nine hundred eighty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 1127 1449 2254 2898 3381 4337 6762 8674 10143 13011 20286 26022 30359 39033 60718 78066 91077 99751 182154 199502 212513 273231 299253 425026 546462 598506 637539 698257 897759 1275078 1396514 1795518 1912617 2094771 3825234 4189542 4887799 6284313 9775598 12568626 14663397 29326794 43990191 87980382