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87421296 = 2436173409
BaseRepresentation
bin1010011010111…
…11000101110000
320002111110110210
411031133011300
5134334440141
612401424120
72111032404
oct515370560
9202443423
1087421296
114538aa06
122533b040
131515b2a1
14b879104
157a1c916
hex535f170

87421296 has 80 divisors (see below), whose sum is σ = 233253920. Its totient is φ = 28200960.

The previous prime is 87421291. The next prime is 87421319. The reversal of 87421296 is 69212478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87421291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213540 + ... + 213948.

It is an arithmetic number, because the mean of its divisors is an integer number (2915674).

Almost surely, 287421296 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 87421296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116626960).

87421296 is an abundant number, since it is smaller than the sum of its proper divisors (145832624).

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

87421296 is a wasteful number, since it uses less digits than its factorization.

87421296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 87421296 is about 9349.9356147516. The cubic root of 87421296 is about 443.8188531394.

The spelling of 87421296 in words is "eighty-seven million, four hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 73 122 146 183 219 244 292 366 409 438 488 584 732 818 876 976 1168 1227 1464 1636 1752 2454 2928 3272 3504 4453 4908 6544 8906 9816 13359 17812 19632 24949 26718 29857 35624 49898 53436 59714 71248 74847 89571 99796 106872 119428 149694 179142 199592 213744 238856 299388 358284 399184 477712 598776 716568 1197552 1433136 1821277 3642554 5463831 7285108 10927662 14570216 21855324 29140432 43710648 87421296