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81303024 = 24311433581
BaseRepresentation
bin1001101100010…
…01010111110000
312122222121210010
410312021113300
5131303144044
612022334520
72005031025
oct466112760
9178877703
1081303024
1141991190
122328a440
1313ac84ca
14ab2554c
15720ebb9
hex4d895f0

81303024 has 80 divisors (see below), whose sum is σ = 234520704. Its totient is φ = 24057600.

The previous prime is 81302971. The next prime is 81303029. The reversal of 81303024 is 42030318.

It is a happy number.

It is a super-2 number, since 2×813030242 = 13220363423089152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81303029) 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, 20914 + ... + 24494.

Almost surely, 281303024 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 81303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117260352).

81303024 is an abundant number, since it is smaller than the sum of its proper divisors (153217680).

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

81303024 is a wasteful number, since it uses less digits than its factorization.

81303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 81303024 is about 9016.8189512710. The cubic root of 81303024 is about 433.2137505664.

The spelling of 81303024 in words is "eighty-one million, three hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3581 3784 5676 7162 7568 10743 11352 14324 21486 22704 28648 39391 42972 57296 78782 85944 118173 153983 157564 171888 236346 307966 315128 461949 472692 615932 630256 923898 945384 1231864 1693813 1847796 1890768 2463728 3387626 3695592 5081439 6775252 7391184 10162878 13550504 20325756 27101008 40651512 81303024