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81942048 = 2532284521
BaseRepresentation
bin1001110001001…
…01011000100000
312201012002100200
410320211120200
5131434121143
612044145200
72013332046
oct470453040
9181162320
1081942048
1142288301
1223538200
1313c90326
14ac50396
1572d91d3
hex4e25620

81942048 has 36 divisors (see below), whose sum is σ = 233023518. Its totient is φ = 27313920.

The previous prime is 81942043. The next prime is 81942053. The reversal of 81942048 is 84024918.

It is an interprime number because it is at equal distance from previous prime (81942043) and next prime (81942053).

It can be written as a sum of positive squares in only one way, i.e., 81216144 + 725904 = 9012^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (81942043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141973 + ... + 142548.

Almost surely, 281942048 is an apocalyptic number.

It is an amenable number.

81942048 is an abundant number, since it is smaller than the sum of its proper divisors (151081470).

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

81942048 is a wasteful number, since it uses less digits than its factorization.

81942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284537 (or 284526 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 81942048 is about 9052.1847086767. The cubic root of 81942048 is about 434.3457783631.

The spelling of 81942048 in words is "eighty-one million, nine hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 284521 569042 853563 1138084 1707126 2276168 2560689 3414252 4552336 5121378 6828504 9104672 10242756 13657008 20485512 27314016 40971024 81942048