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81270828 = 223219131907
BaseRepresentation
bin1001101100000…
…01100000101100
312122220222121200
410312001200230
5131301131303
612021525500
72004535122
oct466014054
9178828550
1081270828
1141969a81
1223273890
1313ab6962
14ab17912
1572053a3
hex4d8182c

81270828 has 72 divisors (see below), whose sum is σ = 218137920. Its totient is φ = 25440480.

The previous prime is 81270823. The next prime is 81270859. The reversal of 81270828 is 82807218.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 81270792 and 81270801.

It is not an unprimeable number, because it can be changed into a prime (81270821) 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, 89151 + ... + 90057.

Almost surely, 281270828 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 81270828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109068960).

81270828 is an abundant number, since it is smaller than the sum of its proper divisors (136867092).

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

81270828 is a wasteful number, since it uses less digits than its factorization.

81270828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 81270828 is about 9015.0334441975. The cubic root of 81270828 is about 433.1565587969.

The spelling of 81270828 in words is "eighty-one million, two hundred seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 907 1179 1572 1814 2358 2489 2721 3628 4716 4978 5442 7467 8163 9956 10884 14934 16326 17233 22401 29868 32652 34466 44802 51699 68932 89604 103398 118817 155097 206796 237634 310194 356451 475268 620388 712902 1069353 1425804 2138706 2257523 4277412 4515046 6772569 9030092 13545138 20317707 27090276 40635414 81270828