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75712077 = 347671993
BaseRepresentation
bin1001000001101…
…00011001001101
312021110120110000
410200310121031
5123340241302
611302434513
71606353630
oct440643115
9167416400
1075712077
1139812671
1221432a39
13128bb75c
14a0abc17
1569a831c
hex483464d

75712077 has 40 divisors (see below), whose sum is σ = 131253056. Its totient is φ = 42596928.

The previous prime is 75712061. The next prime is 75712081. The reversal of 75712077 is 77021757.

It is a happy number.

It is not a de Polignac number, because 75712077 - 24 = 75712061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75712877) 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 39 ways as a sum of consecutive naturals, for example, 36993 + ... + 38985.

Almost surely, 275712077 is an apocalyptic number.

It is an amenable number.

75712077 is a deficient number, since it is larger than the sum of its proper divisors (55540979).

75712077 is a wasteful number, since it uses less digits than its factorization.

75712077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 75712077 is about 8701.2687005976. The cubic root of 75712077 is about 423.0467731589.

The spelling of 75712077 in words is "seventy-five million, seven hundred twelve thousand, seventy-seven".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 469 567 603 1407 1809 1993 4221 5427 5979 12663 13951 17937 37989 41853 53811 125559 133531 161433 376677 400593 934717 1130031 1201779 2804151 3605337 8412453 10816011 25237359 75712077