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59000040 = 233251147317
BaseRepresentation
bin1110000100010…
…0010011101000
311010000111211200
43201010103220
5110101000130
65504324200
71314330531
oct341042350
9133014750
1059000040
1130338670
1217913660
13c2b9a88
147b9b688
1552a6760
hex38444e8

59000040 has 192 divisors, whose sum is σ = 214306560. Its totient is φ = 13954560.

The previous prime is 59000003. The next prime is 59000041. The reversal of 59000040 is 4000095.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 58999977 and 59000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185962 + ... + 186278.

It is an arithmetic number, because the mean of its divisors is an integer number (1116180).

Almost surely, 259000040 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 59000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107153280).

59000040 is an abundant number, since it is smaller than the sum of its proper divisors (155306520).

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

59000040 is a wasteful number, since it uses less digits than its factorization.

59000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 59000040 is about 7681.1483516464. The cubic root of 59000040 is about 389.2997295646.

Subtracting from 59000040 its reverse (4000095), we obtain a palindrome (54999945).

The spelling of 59000040 in words is "fifty-nine million, forty", and thus it is an aban number and an uban number.