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59427104 = 2511179931
BaseRepresentation
bin1110001010110…
…0100100100000
311010211012122212
43202230210200
5110203131404
65521421252
71321056602
oct342544440
9133735585
1059427104
11305aa510
1217a9a828
13c409289
147c6d172
15533d06e
hex38ac920

59427104 has 48 divisors (see below), whose sum is σ = 135154656. Its totient is φ = 25420800.

The previous prime is 59427089. The next prime is 59427241. The reversal of 59427104 is 40172495.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (2815722).

Almost surely, 259427104 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 59427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67577328).

59427104 is an abundant number, since it is smaller than the sum of its proper divisors (75727552).

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

59427104 is a wasteful number, since it uses less digits than its factorization.

59427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 59427104 is about 7708.8977162757. The cubic root of 59427104 is about 390.2367705373.

Adding to 59427104 its reverse (40172495), we get a palindrome (99599599).

The spelling of 59427104 in words is "fifty-nine million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 9931 19862 39724 79448 109241 158896 168827 218482 317792 337654 436964 675308 873928 1350616 1747856 1857097 2701232 3495712 3714194 5402464 7428388 14856776 29713552 59427104