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59042844 = 2234723719
BaseRepresentation
bin1110000100111…
…0110000011100
311010002200120000
43201032300130
5110103332334
65505254300
71314566400
oct341166034
9133080500
1059042844
1130367843
1217934390
13c3033c3
147bad100
1552b4299
hex384ec1c

59042844 has 90 divisors (see below), whose sum is σ = 179597880. Its totient is φ = 16864848.

The previous prime is 59042813. The next prime is 59042873. The reversal of 59042844 is 44824095.

59042844 is a `hidden beast` number, since 590 + 4 + 28 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59042799 and 59042808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14017 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (1995532).

Almost surely, 259042844 is an apocalyptic number.

59042844 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59042844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

59042844 is an abundant number, since it is smaller than the sum of its proper divisors (120555036).

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

59042844 is a wasteful number, since it uses less digits than its factorization.

59042844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 59042844 is about 7683.9341485986. The cubic root of 59042844 is about 389.3938512945.

It can be divided in two parts, 590 and 42844, that added together give a palindrome (43434).

The spelling of 59042844 in words is "fifty-nine million, forty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3719 3969 5292 7438 7938 11157 14876 15876 22314 26033 33471 44628 52066 66942 78099 100413 104132 133884 156198 182231 200826 234297 301239 312396 364462 401652 468594 546693 602478 702891 728924 937188 1093386 1204956 1405782 1640079 2108673 2186772 2811564 3280158 4217346 4920237 6560316 8434692 9840474 14760711 19680948 29521422 59042844