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81144648 = 23321386693
BaseRepresentation
bin1001101011000…
…10101101001000
312122200120112100
410311202231020
5131233112043
612015113400
72003501214
oct465425510
9178616470
1081144648
11418931a2
1223212860
1313a713b0
14aac3944
1571cccd3
hex4d62b48

81144648 has 48 divisors (see below), whose sum is σ = 236674620. Its totient is φ = 24967296.

The previous prime is 81144641. The next prime is 81144677. The reversal of 81144648 is 84644118.

81144648 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 4 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79602084 + 1542564 = 8922^2 + 1242^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81144641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42411 + ... + 44282.

Almost surely, 281144648 is an apocalyptic number.

It is an amenable number.

81144648 is an abundant number, since it is smaller than the sum of its proper divisors (155529972).

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

81144648 is a wasteful number, since it uses less digits than its factorization.

81144648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86718 (or 86711 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 81144648 is about 9008.0324155722. The cubic root of 81144648 is about 432.9322716562.

The spelling of 81144648 in words is "eighty-one million, one hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 86693 173386 260079 346772 520158 693544 780237 1040316 1127009 1560474 2080632 2254018 3120948 3381027 4508036 6241896 6762054 9016072 10143081 13524108 20286162 27048216 40572324 81144648