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81439488 = 2832132719
BaseRepresentation
bin1001101101010…
…10101100000000
312200020112222100
410312222230000
5131322030423
612025310400
72006136624
oct466525400
9180215870
1081439488
1141a74769
1223335400
1313b45660
14ab5d184
15723a343
hex4daab00

81439488 has 108 divisors (see below), whose sum is σ = 252965440. Its totient is φ = 25049088.

The previous prime is 81439483. The next prime is 81439493. The reversal of 81439488 is 88493418.

It is an interprime number because it is at equal distance from previous prime (81439483) and next prime (81439493).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81439483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28593 + ... + 31311.

Almost surely, 281439488 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 81439488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126482720).

81439488 is an abundant number, since it is smaller than the sum of its proper divisors (171525952).

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

81439488 is a wasteful number, since it uses less digits than its factorization.

81439488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2737 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 81439488 is about 9024.3829705969. The cubic root of 81439488 is about 433.4559926272.

It can be divided in two parts, 81 and 439488, that added together give a square (439569 = 6632).

The spelling of 81439488 in words is "eighty-one million, four hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 2719 3328 3744 4992 5438 7488 8157 9984 10876 14976 16314 21752 24471 29952 32628 35347 43504 48942 65256 70694 87008 97884 106041 130512 141388 174016 195768 212082 261024 282776 318123 348032 391536 424164 522048 565552 636246 696064 783072 848328 1044096 1131104 1272492 1566144 1696656 2088192 2262208 2544984 3132288 3393312 4524416 5089968 6264576 6786624 9048832 10179936 13573248 20359872 27146496 40719744 81439488