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81022752 = 25322989109
BaseRepresentation
bin1001101010001…
…00111100100000
312122110101022200
410311010330200
5131220212002
612012333200
72002452636
oct465047440
9178411280
1081022752
114180a658
1223174200
1313a2aa75
14aa91356
1571a6b1c
hex4d44f20

81022752 has 144 divisors (see below), whose sum is σ = 243243000. Its totient is φ = 25546752.

The previous prime is 81022741. The next prime is 81022763. The reversal of 81022752 is 25722018.

It is an interprime number because it is at equal distance from previous prime (81022741) and next prime (81022763).

It can be written as a sum of positive squares in 4 ways, for example, as 65999376 + 15023376 = 8124^2 + 3876^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 743274 + ... + 743382.

Almost surely, 281022752 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 81022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121621500).

81022752 is an abundant number, since it is smaller than the sum of its proper divisors (162220248).

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

81022752 is a wasteful number, since it uses less digits than its factorization.

81022752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 81022752 is about 9001.2639112516. The cubic root of 81022752 is about 432.7153784877.

The spelling of 81022752 in words is "eighty-one million, twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 89 96 109 116 144 174 178 218 232 261 267 288 327 348 356 436 464 522 534 654 696 712 801 872 928 981 1044 1068 1308 1392 1424 1602 1744 1962 2088 2136 2581 2616 2784 2848 3161 3204 3488 3924 4176 4272 5162 5232 6322 6408 7743 7848 8352 8544 9483 9701 10324 10464 12644 12816 15486 15696 18966 19402 20648 23229 25288 25632 28449 29103 30972 31392 37932 38804 41296 46458 50576 56898 58206 61944 75864 77608 82592 87309 92916 101152 113796 116412 123888 151728 155216 174618 185832 227592 232824 247776 281329 303456 310432 349236 371664 455184 465648 562658 698472 743328 843987 910368 931296 1125316 1396944 1687974 2250632 2531961 2793888 3375948 4501264 5063922 6751896 9002528 10127844 13503792 20255688 27007584 40511376 81022752