Search a number
-
+
81498368 = 28727389
BaseRepresentation
bin1001101101110…
…01000100000000
312200100112202002
410312321010000
5131330421433
612030443132
72006503400
oct466710400
9180315662
1081498368
1142004a26
12233634a8
1313b663b3
14ab76800
15724c9e8
hex4db9100

81498368 has 108 divisors (see below), whose sum is σ = 193985820. Its totient is φ = 34062336.

The previous prime is 81498367. The next prime is 81498371. The reversal of 81498368 is 86389418.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 51380224 = 5488^2 + 7168^2 .

Its product of digits (331776) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (81498367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915668 + ... + 915756.

It is an arithmetic number, because the mean of its divisors is an integer number (1796165).

Almost surely, 281498368 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 81498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96992910).

81498368 is an abundant number, since it is smaller than the sum of its proper divisors (112487452).

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

81498368 is an equidigital number, since it uses as much as digits as its factorization.

81498368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 81498368 is about 9027.6446540612. The cubic root of 81498368 is about 433.5604290263.

The spelling of 81498368 in words is "eighty-one million, four hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 89 98 112 128 146 178 196 224 256 292 356 392 448 511 584 623 712 784 896 1022 1168 1246 1424 1568 1792 2044 2336 2492 2848 3136 3577 4088 4361 4672 4984 5696 6272 6497 7154 8176 8722 9344 9968 11392 12544 12994 14308 16352 17444 18688 19936 22784 25988 28616 32704 34888 39872 45479 51976 57232 65408 69776 79744 90958 103952 114464 130816 139552 159488 181916 207904 228928 279104 318353 363832 415808 457856 558208 636706 727664 831616 915712 1116416 1273412 1455328 1663232 2546824 2910656 5093648 5821312 10187296 11642624 20374592 40749184 81498368