Search a number
-
+
81282152 = 2371979967
BaseRepresentation
bin1001101100001…
…00010001101000
312122221120011002
410312010101220
5131302012102
612022054132
72004613130
oct466042150
9178846132
1081282152
1141977536
122327a348
1313abbb63
14ab1bac0
157208902
hex4d84468

81282152 has 64 divisors (see below), whose sum is σ = 185856000. Its totient is φ = 32550336.

The previous prime is 81282127. The next prime is 81282163. The reversal of 81282152 is 25128218.

It is a happy number.

It is a super-2 number, since 2×812821522 = 13213576467502208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83573 + ... + 84539.

It is an arithmetic number, because the mean of its divisors is an integer number (2904000).

Almost surely, 281282152 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 81282152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92928000).

81282152 is an abundant number, since it is smaller than the sum of its proper divisors (104573848).

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

81282152 is a wasteful number, since it uses less digits than its factorization.

81282152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 2560, while the sum is 29.

The square root of 81282152 is about 9015.6614843283. The cubic root of 81282152 is about 433.1766760485.

The spelling of 81282152 in words is "eighty-one million, two hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 79 133 152 158 266 316 532 553 632 967 1064 1106 1501 1934 2212 3002 3868 4424 6004 6769 7736 10507 12008 13538 18373 21014 27076 36746 42028 54152 73492 76393 84056 128611 146984 152786 257222 305572 514444 534751 611144 1028888 1069502 1451467 2139004 2902934 4278008 5805868 10160269 11611736 20320538 40641076 81282152