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75642061 = 113173343
BaseRepresentation
bin1001000001000…
…11010011001101
312021100000101211
410200203103031
5123331021221
611301134421
71605642535
oct440432315
9167300354
1075642061
1139775000
12213ba411
1312895921
14a0904c5
1569926e1
hex48234cd

75642061 has 16 divisors (see below), whose sum is σ = 88121088. Its totient is φ = 64701120.

The previous prime is 75642053. The next prime is 75642103. The reversal of 75642061 is 16024657.

It is a happy number.

It is not a de Polignac number, because 75642061 - 23 = 75642053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75642011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20956 + ... + 24298.

It is an arithmetic number, because the mean of its divisors is an integer number (5507568).

Almost surely, 275642061 is an apocalyptic number.

It is an amenable number.

75642061 is a deficient number, since it is larger than the sum of its proper divisors (12479027).

75642061 is a wasteful number, since it uses less digits than its factorization.

75642061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 75642061 is about 8697.2444486745. The cubic root of 75642061 is about 422.9163264311.

The spelling of 75642061 in words is "seventy-five million, six hundred forty-two thousand, sixty-one".

Divisors: 1 11 17 121 187 1331 2057 3343 22627 36773 56831 404503 625141 4449533 6876551 75642061