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81290484 = 2232111031993
BaseRepresentation
bin1001101100001…
…10010011110100
312122221222120200
410312012103310
5131302243414
612022200500
72004646332
oct466062364
9178858520
1081290484
1141982820
1223283130
1313ac28a2
14ab20b52
15720b109
hex4d864f4

81290484 has 72 divisors (see below), whose sum is σ = 226454592. Its totient is φ = 24382080.

The previous prime is 81290483. The next prime is 81290507. The reversal of 81290484 is 48409218.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81290483) 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 23 ways as a sum of consecutive naturals, for example, 39792 + ... + 41784.

Almost surely, 281290484 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 81290484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113227296).

81290484 is an abundant number, since it is smaller than the sum of its proper divisors (145164108).

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

81290484 is a wasteful number, since it uses less digits than its factorization.

81290484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 81290484 is about 9016.1235572723. The cubic root of 81290484 is about 433.1914767751.

The spelling of 81290484 in words is "eighty-one million, two hundred ninety thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 1993 2266 3399 3708 3986 4532 5979 6798 7972 10197 11958 13596 17937 20394 21923 23916 35874 40788 43846 65769 71748 87692 131538 197307 205279 263076 394614 410558 615837 789228 821116 1231674 1847511 2258069 2463348 3695022 4516138 6774207 7390044 9032276 13548414 20322621 27096828 40645242 81290484