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81145332 = 22325371599
BaseRepresentation
bin1001101011000…
…10110111110100
312122200121110200
410311202313310
5131233122312
612015120500
72003503212
oct465426764
9178617420
1081145332
1141893764
1223213130
1313a717b8
14aac3cb2
1571cd0dc
hex4d62df4

81145332 has 72 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 26120640.

The previous prime is 81145327. The next prime is 81145349. The reversal of 81145332 is 23354118.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 81145296 and 81145305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135169 + ... + 135767.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 281145332 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 81145332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

81145332 is an abundant number, since it is smaller than the sum of its proper divisors (131139468).

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

81145332 is a wasteful number, since it uses less digits than its factorization.

81145332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 728 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 81145332 is about 9008.0703816078. The cubic root of 81145332 is about 432.9334881046.

The spelling of 81145332 in words is "eighty-one million, one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 71 106 142 159 212 213 284 318 426 477 599 636 639 852 954 1198 1278 1797 1908 2396 2556 3594 3763 5391 7188 7526 10782 11289 15052 21564 22578 31747 33867 42529 45156 63494 67734 85058 95241 126988 127587 135468 170116 190482 255174 285723 380964 382761 510348 571446 765522 1142892 1531044 2254037 4508074 6762111 9016148 13524222 20286333 27048444 40572666 81145332