Search a number
-
+
81437048 = 23711731811
BaseRepresentation
bin1001101101010…
…10000101111000
312200020102121222
410312222011320
5131321441143
612025251212
72006126540
oct466520570
9180212558
1081437048
1141a72950
1223333b08
1313b44504
14ab5c320
157239768
hex4daa178

81437048 has 64 divisors (see below), whose sum is σ = 193086720. Its totient is φ = 31276800.

The previous prime is 81437039. The next prime is 81437063. The reversal of 81437048 is 84073418.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81436999 and 81437017.

It is a congruent number.

It is an unprimeable number.

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, 44063 + ... + 45873.

It is an arithmetic number, because the mean of its divisors is an integer number (3016980).

Almost surely, 281437048 is an apocalyptic number.

81437048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81437048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96543360).

81437048 is an abundant number, since it is smaller than the sum of its proper divisors (111649672).

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

81437048 is a wasteful number, since it uses less digits than its factorization.

81437048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 81437048 is about 9024.2477802862. The cubic root of 81437048 is about 433.4516636741.

It can be divided in two parts, 814370 and 48, that added together give a palindrome (814418).

The spelling of 81437048 in words is "eighty-one million, four hundred thirty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 803 1022 1606 1811 2044 3212 3622 4088 5621 6424 7244 11242 12677 14488 19921 22484 25354 39842 44968 50708 79684 101416 132203 139447 159368 264406 278894 528812 557788 925421 1057624 1115576 1454233 1850842 2908466 3701684 5816932 7403368 10179631 11633864 20359262 40718524 81437048