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5742765 = 335759103
BaseRepresentation
bin10101111010000010101101
3101210202121000
4111322002231
52432232030
6323030513
766545520
oct25720255
911722530
105742765
113272696
121b0b439
131260bb2
14a96bb7
15786860
hex57a0ad

5742765 has 64 divisors (see below), whose sum is σ = 11980800. Its totient is φ = 2555712.

The previous prime is 5742749. The next prime is 5742791. The reversal of 5742765 is 5672475.

5742765 is a `hidden beast` number, since 574 + 27 + 65 = 666.

It is not a de Polignac number, because 5742765 - 24 = 5742749 is a prime.

5742765 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55704 + ... + 55806.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 25742765 is an apocalyptic number.

It is an amenable number.

5742765 is an abundant number, since it is smaller than the sum of its proper divisors (6238035).

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

5742765 is a wasteful number, since it uses less digits than its factorization.

5742765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5742765 is about 2396.4066850182. The cubic root of 5742765 is about 179.0772218646.

The spelling of 5742765 in words is "five million, seven hundred forty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 103 105 135 177 189 295 309 315 413 515 531 721 885 927 945 1239 1545 1593 2065 2163 2655 2781 3605 3717 4635 6077 6195 6489 7965 10815 11151 13905 18231 18585 19467 30385 32445 42539 54693 55755 91155 97335 127617 164079 212695 273465 382851 638085 820395 1148553 1914255 5742765