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75758013 = 3273115309
BaseRepresentation
bin1001000001111…
…11100110111101
312021112220110100
410200333212331
5123343224023
611303431313
71606634562
oct440774675
9167486410
1075758013
1139844131
1221455539
1312906636
14a0c0869
1569b6c43
hex483f9bd

75758013 has 12 divisors (see below), whose sum is σ = 110928220. Its totient is φ = 49813056.

The previous prime is 75757993. The next prime is 75758027. The reversal of 75758013 is 31085757.

75758013 is a `hidden beast` number, since 7 + 575 + 80 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24176889 + 51581124 = 4917^2 + 7182^2 .

It is not a de Polignac number, because 75758013 - 29 = 75757501 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 (75758213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56998 + ... + 58311.

Almost surely, 275758013 is an apocalyptic number.

75758013 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

75758013 is a deficient number, since it is larger than the sum of its proper divisors (35170207).

75758013 is a wasteful number, since it uses less digits than its factorization.

75758013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115388 (or 115385 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 75758013 is about 8703.9079154136. The cubic root of 75758013 is about 423.1323127828.

The spelling of 75758013 in words is "seventy-five million, seven hundred fifty-eight thousand, thirteen".

Divisors: 1 3 9 73 219 657 115309 345927 1037781 8417557 25252671 75758013