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81229064 = 2372436179
BaseRepresentation
bin1001101011101…
…11010100001000
312122211212022212
410311313110020
5131243312224
612021004252
72004302300
oct465672410
9178755285
1081229064
1141940664
1223253688
1313aa0947
14ab06600
1571e7d0e
hex4d77508

81229064 has 96 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 33022080.

The previous prime is 81229051. The next prime is 81229069. The reversal of 81229064 is 46092218.

It is a self number, because there is not a number n which added to its sum of digits gives 81229064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81229069) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1028177 + ... + 1028255.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 281229064 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 81229064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

81229064 is an abundant number, since it is smaller than the sum of its proper divisors (105366136).

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

81229064 is a wasteful number, since it uses less digits than its factorization.

81229064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 81229064 is about 9012.7167935090. The cubic root of 81229064 is about 433.0823482811.

The spelling of 81229064 in words is "eighty-one million, two hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 61 79 86 98 122 158 172 196 244 301 316 344 392 427 488 553 602 632 854 1106 1204 1708 2107 2212 2408 2623 2989 3397 3416 3871 4214 4424 4819 5246 5978 6794 7742 8428 9638 10492 11956 13588 15484 16856 18361 19276 20984 23779 23912 27176 30968 33733 36722 38552 47558 67466 73444 95116 128527 134932 146888 166453 190232 207217 236131 257054 269864 332906 414434 472262 514108 665812 828868 944524 1028216 1331624 1450519 1657736 1889048 2901038 5802076 10153633 11604152 20307266 40614532 81229064