Search a number
-
+
81488010 = 23543181349
BaseRepresentation
bin1001101101101…
…10100010001010
312200100000112110
410312312202022
5131330104020
612030323150
72006431242
oct466664212
9180300473
1081488010
1141aa816a
12233594b6
1313b61776
14ab72b22
1572498e0
hex4db688a

81488010 has 64 divisors (see below), whose sum is σ = 201801600. Its totient is φ = 21047040.

The previous prime is 81488003. The next prime is 81488059. The reversal of 81488010 is 1088418.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 233316 + ... + 233664.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 281488010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81488010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

81488010 is an abundant number, since it is smaller than the sum of its proper divisors (120313590).

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

81488010 is a wasteful number, since it uses less digits than its factorization.

81488010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 81488010 is about 9027.0709535264. The cubic root of 81488010 is about 433.5420605228.

The spelling of 81488010 in words is "eighty-one million, four hundred eighty-eight thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 181 215 258 349 362 430 543 645 698 905 1047 1086 1290 1745 1810 2094 2715 3490 5235 5430 7783 10470 15007 15566 23349 30014 38915 45021 46698 63169 75035 77830 90042 116745 126338 150070 189507 225105 233490 315845 379014 450210 631690 947535 1895070 2716267 5432534 8148801 13581335 16297602 27162670 40744005 81488010