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81521514 = 23219349683
BaseRepresentation
bin1001101101111…
…10101101101010
312200101201111100
410312332231222
5131332142024
612031142230
72006631024
oct466765552
9180351440
1081521514
1142020358
1223374976
1313b73aa9
14ab81014
1572547c9
hex4dbeb6a

81521514 has 48 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 25632288.

The previous prime is 81521501. The next prime is 81521527. The reversal of 81521514 is 41512518.

It is an interprime number because it is at equal distance from previous prime (81521501) and next prime (81521527).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 119017 + ... + 119699.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 281521514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81521514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

81521514 is an abundant number, since it is smaller than the sum of its proper divisors (105210486).

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

81521514 is a wasteful number, since it uses less digits than its factorization.

81521514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1056 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 81521514 is about 9028.9265142651. The cubic root of 81521514 is about 433.6014696838.

The spelling of 81521514 in words is "eighty-one million, five hundred twenty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 349 683 698 1047 1366 2049 2094 3141 4098 6147 6282 6631 12294 12977 13262 19893 25954 38931 39786 59679 77862 116793 119358 233586 238367 476734 715101 1430202 2145303 4290606 4528973 9057946 13586919 27173838 40760757 81521514