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59102208 = 2103211253
BaseRepresentation
bin1110000101110…
…1010000000000
311010012200222200
43201131100000
5110112232313
65510433200
71315234434
oct341352000
9133180880
1059102208
11303a8400
1217962800
13c324429
147bc69c4
1552c6b73
hex385d400

59102208 has 198 divisors, whose sum is σ = 191120202. Its totient is φ = 17571840.

The previous prime is 59102207. The next prime is 59102221. The reversal of 59102208 is 80220195.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 4460544 = 7392^2 + 2112^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59102207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115110 + ... + 1115162.

Almost surely, 259102208 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 59102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95560101).

59102208 is an abundant number, since it is smaller than the sum of its proper divisors (132017994).

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

59102208 is a wasteful number, since it uses less digits than its factorization.

59102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 59102208 is about 7687.7960430802. The cubic root of 59102208 is about 389.5243115508.

It can be divided in two parts, 5910 and 2208, that added together give a palindrome (8118).

The spelling of 59102208 in words is "fifty-nine million, one hundred two thousand, two hundred eight".