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59092040 = 235735973
BaseRepresentation
bin1110000101101…
…0110001001000
311010012012001002
43201122301020
5110111421130
65510314132
71315163000
oct341326110
9133165032
1059092040
11303a07a7
1217958948
13c31c907
147bc3000
1552c3b45
hex385ac48

59092040 has 128 divisors (see below), whose sum is σ = 159840000. Its totient is φ = 19643904.

The previous prime is 59092039. The next prime is 59092043. The reversal of 59092040 is 4029095.

It is a junction number, because it is equal to n+sod(n) for n = 59091994 and 59092012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59092043) 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 31 ways as a sum of consecutive naturals, for example, 809444 + ... + 809516.

It is an arithmetic number, because the mean of its divisors is an integer number (1248750).

Almost surely, 259092040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59092040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79920000).

59092040 is an abundant number, since it is smaller than the sum of its proper divisors (100747960).

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

59092040 is a wasteful number, since it uses less digits than its factorization.

59092040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 59092040 is about 7687.1347067682. The cubic root of 59092040 is about 389.5019722255.

The spelling of 59092040 in words is "fifty-nine million, ninety-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 59 70 73 98 118 140 146 196 236 245 280 292 295 343 365 392 413 472 490 511 584 590 686 730 826 980 1022 1180 1372 1460 1652 1715 1960 2044 2065 2360 2555 2744 2891 2920 3304 3430 3577 4088 4130 4307 5110 5782 6860 7154 8260 8614 10220 11564 13720 14308 14455 16520 17228 17885 20237 20440 21535 23128 25039 28616 28910 30149 34456 35770 40474 43070 50078 57820 60298 71540 80948 86140 100156 101185 115640 120596 125195 143080 150745 161896 172280 200312 202370 211043 241192 250390 301490 404740 422086 500780 602980 809480 844172 1001560 1055215 1205960 1477301 1688344 2110430 2954602 4220860 5909204 7386505 8441720 11818408 14773010 29546020 59092040