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81249795 = 325111953163
BaseRepresentation
bin1001101011111…
…00011000000011
312122212220202200
410311330120003
5131244443140
612021244243
72004416604
oct465743003
9178786680
1081249795
11419551a0
1223263683
1313aaa203
14ab0ddab
1571ee030
hex4d7c603

81249795 has 96 divisors (see below), whose sum is σ = 165784320. Its totient is φ = 36391680.

The previous prime is 81249787. The next prime is 81249811. The reversal of 81249795 is 59794218.

It is not a de Polignac number, because 81249795 - 23 = 81249787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 81249795.

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 95 ways as a sum of consecutive naturals, for example, 498384 + ... + 498546.

It is an arithmetic number, because the mean of its divisors is an integer number (1726920).

It is a vampire number, since it can be written as 87459291 (with its own digits).

Almost surely, 281249795 is an apocalyptic number.

81249795 is an abundant number, since it is smaller than the sum of its proper divisors (84534525).

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

81249795 is a wasteful number, since it uses less digits than its factorization.

81249795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 81249795 is about 9013.8668172988. The cubic root of 81249795 is about 433.1191884055.

The spelling of 81249795 in words is "eighty-one million, two hundred forty-nine thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 11 15 19 33 45 53 55 57 95 99 159 163 165 171 209 265 285 477 489 495 583 627 795 815 855 1007 1045 1467 1749 1793 1881 2385 2445 2915 3021 3097 3135 5035 5247 5379 7335 8639 8745 8965 9063 9291 9405 11077 15105 15485 16137 25917 26235 26895 27873 33231 34067 43195 45315 46455 55385 77751 80685 95029 99693 102201 129585 139365 164141 166155 170335 285087 306603 388755 475145 492423 498465 511005 820705 855261 1425435 1477269 1533015 1805551 2462115 4276305 5416653 7386345 9027755 16249959 27083265 81249795