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59421132 = 223219109797
BaseRepresentation
bin1110001010101…
…1000111001100
311010210220110200
43202223013030
5110202434012
65521333500
71321033311
oct342530714
9133726420
1059421132
11305a5a81
1217a97290
13c406644
147c6ad08
15533b3dc
hex38ab1cc

59421132 has 72 divisors (see below), whose sum is σ = 159759600. Its totient is φ = 18569088.

The previous prime is 59421119. The next prime is 59421139. The reversal of 59421132 is 23112495.

59421132 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 2×594211322 = 7061741856322848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59421096 and 59421105.

It is not an unprimeable number, because it can be changed into a prime (59421139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74158 + ... + 74954.

Almost surely, 259421132 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 59421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79879800).

59421132 is an abundant number, since it is smaller than the sum of its proper divisors (100338468).

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

59421132 is a wasteful number, since it uses less digits than its factorization.

59421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 930 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 59421132 is about 7708.5103619312. The cubic root of 59421132 is about 390.2236980956.

The spelling of 59421132 in words is "fifty-nine million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 109 114 171 218 228 327 342 436 654 684 797 981 1308 1594 1962 2071 2391 3188 3924 4142 4782 6213 7173 8284 9564 12426 14346 15143 18639 24852 28692 30286 37278 45429 60572 74556 86873 90858 136287 173746 181716 260619 272574 347492 521238 545148 781857 1042476 1563714 1650587 3127428 3301174 4951761 6602348 9903522 14855283 19807044 29710566 59421132