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81907488 = 253213131167
BaseRepresentation
bin1001110000111…
…00111100100000
312201010022221200
410320130330200
5131432014423
612043321200
72013126225
oct470347440
9181108850
1081907488
1142264343
1223520200
1313c7a690
14ac4194c
1572cdd43
hex4e1cf20

81907488 has 144 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 24860160.

The previous prime is 81907481. The next prime is 81907493. The reversal of 81907488 is 88470918.

81907488 is a `hidden beast` number, since 81 + 90 + 7 + 488 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81907481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490381 + ... + 490547.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 281907488 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 81907488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

81907488 is an abundant number, since it is smaller than the sum of its proper divisors (172362528).

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

81907488 is a wasteful number, since it uses less digits than its factorization.

81907488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 81907488 is about 9050.2755759148. The cubic root of 81907488 is about 434.2847063359.

The spelling of 81907488 in words is "eighty-one million, nine hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 131 144 156 167 208 234 262 288 312 334 393 416 468 501 524 624 668 786 936 1002 1048 1179 1248 1336 1503 1572 1703 1872 2004 2096 2171 2358 2672 3006 3144 3406 3744 4008 4192 4342 4716 5109 5344 6012 6288 6513 6812 8016 8684 9432 10218 12024 12576 13026 13624 15327 16032 17368 18864 19539 20436 21877 24048 26052 27248 30654 34736 37728 39078 40872 43754 48096 52104 54496 61308 65631 69472 78156 81744 87508 104208 122616 131262 156312 163488 175016 196893 208416 245232 262524 284401 312624 350032 393786 490464 525048 568802 625248 700064 787572 853203 1050096 1137604 1575144 1706406 2100192 2275208 2559609 3150288 3412812 4550416 5119218 6300576 6825624 9100832 10238436 13651248 20476872 27302496 40953744 81907488