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59164116 = 223113971129
BaseRepresentation
bin1110000110110…
…0010111010100
311010022211220120
43201230113110
5110121222431
65512031540
71315613064
oct341542724
9133284816
1059164116
113043a970
12179925b0
13c34666b
147c013a4
1552da196
hex386c5d4

59164116 has 48 divisors (see below), whose sum is σ = 151112640. Its totient is φ = 17867520.

The previous prime is 59164109. The next prime is 59164121. The reversal of 59164116 is 61146195.

59164116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×591641162 = 7000785244122912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51840 + ... + 52968.

It is an arithmetic number, because the mean of its divisors is an integer number (3148180).

Almost surely, 259164116 is an apocalyptic number.

It is an amenable number.

59164116 is an abundant number, since it is smaller than the sum of its proper divisors (91948524).

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

59164116 is a wasteful number, since it uses less digits than its factorization.

59164116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 59164116 is about 7691.8213707808. The cubic root of 59164116 is about 389.6602695630.

The spelling of 59164116 in words is "fifty-nine million, one hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 397 794 1129 1191 1588 2258 2382 3387 4367 4516 4764 6774 8734 12419 13101 13548 17468 24838 26202 37257 49676 52404 74514 149028 448213 896426 1344639 1792852 2689278 4930343 5378556 9860686 14791029 19721372 29582058 59164116