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81007353 = 32729101439
BaseRepresentation
bin1001101010000…
…01001011111001
312122102121012100
410311001023321
5131214213403
612012134013
72002360020
oct465011371
9178377170
1081007353
11417aa029
1223167309
1313a23a5b
14aa898b7
1571a22a3
hex4d412f9

81007353 has 48 divisors (see below), whose sum is σ = 140025600. Its totient is φ = 44150400.

The previous prime is 81007351. The next prime is 81007361. The reversal of 81007353 is 35370018.

It is not a de Polignac number, because 81007353 - 21 = 81007351 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81007351) 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 47 ways as a sum of consecutive naturals, for example, 184308 + ... + 184746.

It is an arithmetic number, because the mean of its divisors is an integer number (2917200).

Almost surely, 281007353 is an apocalyptic number.

It is an amenable number.

81007353 is a deficient number, since it is larger than the sum of its proper divisors (59018247).

81007353 is a wasteful number, since it uses less digits than its factorization.

81007353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 81007353 is about 9000.4084907297. The cubic root of 81007353 is about 432.6879631172.

The spelling of 81007353 in words is "eighty-one million, seven thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 29 63 87 101 203 261 303 439 609 707 909 1317 1827 2121 2929 3073 3951 6363 8787 9219 12731 20503 26361 27657 38193 44339 61509 89117 114579 133017 184527 267351 310373 399051 802053 931119 1285831 2793357 3857493 9000817 11572479 27002451 81007353