Search a number
-
+
81052488 = 23341183137
BaseRepresentation
bin1001101010011…
…00001101001000
312122111220010000
410311030031020
5131222134423
612013123000
72002635426
oct465141510
9178456100
1081052488
114182aa30
1223189460
1313a3b46a
14aa9c116
1571b0843
hex4d4c348

81052488 has 160 divisors (see below), whose sum is σ = 252473760. Its totient is φ = 24088320.

The previous prime is 81052457. The next prime is 81052493. The reversal of 81052488 is 88425018.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 591556 + ... + 591692.

It is an arithmetic number, because the mean of its divisors is an integer number (1577961).

Almost surely, 281052488 is an apocalyptic number.

81052488 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 81052488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126236880).

81052488 is an abundant number, since it is smaller than the sum of its proper divisors (171421272).

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

81052488 is a wasteful number, since it uses less digits than its factorization.

81052488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 81052488 is about 9002.9155277610. The cubic root of 81052488 is about 432.7683086848.

The spelling of 81052488 in words is "eighty-one million, fifty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 83 88 99 108 132 137 162 166 198 216 249 264 274 297 324 332 396 411 498 548 594 648 664 747 792 822 891 913 996 1096 1188 1233 1494 1507 1644 1782 1826 1992 2241 2376 2466 2739 2988 3014 3288 3564 3652 3699 4482 4521 4932 5478 5976 6028 6723 7128 7304 7398 8217 8964 9042 9864 10956 11097 11371 12056 13446 13563 14796 16434 17928 18084 21912 22194 22742 24651 26892 27126 29592 32868 34113 36168 40689 44388 45484 49302 53784 54252 65736 68226 73953 81378 88776 90968 98604 102339 108504 122067 125081 136452 147906 162756 197208 204678 244134 250162 272904 295812 307017 325512 375243 409356 488268 500324 591624 614034 750486 818712 921051 976536 1000648 1125729 1228068 1500972 1842102 2251458 2456136 3001944 3377187 3684204 4502916 6754374 7368408 9005832 10131561 13508748 20263122 27017496 40526244 81052488