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81742608 = 243463073
BaseRepresentation
bin1001101111101…
…00101100010000
312200210221210000
410313310230100
5131411230413
612040010000
72011541433
oct467645420
9180727700
1081742608
1142161482
1223460900
1313c2060c
14abdb81a
15729a073
hex4df4b10

81742608 has 50 divisors (see below), whose sum is σ = 236590574. Its totient is φ = 27247104.

The previous prime is 81742607. The next prime is 81742637. The reversal of 81742608 is 80624718.

81742608 is a `hidden beast` number, since 8 + 1 + 7 + 42 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 38340864 = 6588^2 + 6192^2 .

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 (81742603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30241 + ... + 32832.

Almost surely, 281742608 is an apocalyptic number.

It is an amenable number.

81742608 is an abundant number, since it is smaller than the sum of its proper divisors (154847966).

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

81742608 is a wasteful number, since it uses less digits than its factorization.

81742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63093 (or 63078 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81742608 is about 9041.1618722374. The cubic root of 81742608 is about 433.9931051451.

The spelling of 81742608 in words is "eighty-one million, seven hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 63073 126146 189219 252292 378438 504584 567657 756876 1009168 1135314 1513752 1702971 2270628 3027504 3405942 4541256 5108913 6811884 9082512 10217826 13623768 20435652 27247536 40871304 81742608