Search a number
-
+
81499392 = 283313907
BaseRepresentation
bin1001101101110…
…01010100000000
312200100121011000
410312321110000
5131330440032
612030452000
72006506362
oct466712400
9180317130
1081499392
1142005777
1223364000
1313b669c0
14ab76d32
15724ce7c
hex4db9500

81499392 has 144 divisors (see below), whose sum is σ = 259833280. Its totient is φ = 25049088.

The previous prime is 81499387. The next prime is 81499393. The reversal of 81499392 is 29399418.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81499393) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89403 + ... + 90309.

Almost surely, 281499392 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 81499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129916640).

81499392 is an abundant number, since it is smaller than the sum of its proper divisors (178333888).

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

81499392 is a wasteful number, since it uses less digits than its factorization.

81499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 925 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 81499392 is about 9027.7013685655. The cubic root of 81499392 is about 433.5622448665.

The spelling of 81499392 in words is "eighty-one million, four hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 907 936 1152 1248 1404 1664 1728 1814 1872 2304 2496 2721 2808 3328 3456 3628 3744 4992 5442 5616 6912 7256 7488 8163 9984 10884 11232 11791 14512 14976 16326 21768 22464 23582 24489 29024 29952 32652 35373 43536 44928 47164 48978 58048 65304 70746 87072 89856 94328 97956 106119 116096 130608 141492 174144 188656 195912 212238 232192 261216 282984 318357 348288 377312 391824 424476 522432 565968 636714 696576 754624 783648 848952 1044864 1131936 1273428 1509248 1567296 1697904 2089728 2263872 2546856 3018496 3134592 3395808 4527744 5093712 6269184 6791616 9055488 10187424 13583232 20374848 27166464 40749696 81499392