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59055416 = 2371724189
BaseRepresentation
bin1110000101000…
…1110100111000
311010010022210122
43201101310320
5110104233131
65505432412
71314651140
oct341216470
9133108718
1059055416
1130376232
121793b708
13c309044
147bb3920
1552b7d7b
hex3851d38

59055416 has 96 divisors (see below), whose sum is σ = 139255200. Its totient is φ = 22978560.

The previous prime is 59055379. The next prime is 59055427. The reversal of 59055416 is 61455095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663500 + ... + 663588.

It is an arithmetic number, because the mean of its divisors is an integer number (1450575).

Almost surely, 259055416 is an apocalyptic number.

59055416 is a gapful number since it is divisible by the number (56) 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 59055416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69627600).

59055416 is an abundant number, since it is smaller than the sum of its proper divisors (80199784).

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

59055416 is a wasteful number, since it uses less digits than its factorization.

59055416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 59055416 is about 7684.7521755747. The cubic root of 59055416 is about 389.4214872266.

The spelling of 59055416 in words is "fifty-nine million, fifty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 89 119 136 164 178 238 287 289 328 356 476 574 578 623 697 712 952 1148 1156 1246 1394 1513 2023 2296 2312 2492 2788 3026 3649 4046 4879 4984 5576 6052 7298 8092 9758 10591 11849 12104 14596 16184 19516 21182 23698 25543 25721 29192 39032 42364 47396 51086 51442 62033 82943 84728 94792 102172 102884 124066 165886 180047 204344 205768 248132 331772 360094 434231 496264 663544 720188 868462 1054561 1440376 1736924 2109122 3473848 4218244 7381927 8436488 14763854 29527708 59055416