Search a number
-
+
2059504902 = 2327133140559
BaseRepresentation
bin111101011000001…
…1000110100000110
312022112022200121100
41322300120310012
513204213124102
6540210200530
7102015334320
oct17260306406
95275280540
102059504902
1196759a574
12495883146
1326a8acb70
14157748610
15c0c18a1c
hex7ac18d06

2059504902 has 96 divisors (see below), whose sum is σ = 5669314560. Its totient is φ = 525631680.

The previous prime is 2059504897. The next prime is 2059504903. The reversal of 2059504902 is 2094059502.

It is a happy number.

2059504902 is a `hidden beast` number, since 20 + 595 + 0 + 49 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059504903) 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, 30499 + ... + 71057.

It is an arithmetic number, because the mean of its divisors is an integer number (59055360).

Almost surely, 22059504902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059504902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834657280).

2059504902 is an abundant number, since it is smaller than the sum of its proper divisors (3609809658).

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

2059504902 is a wasteful number, since it uses less digits than its factorization.

2059504902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40618 (or 40615 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2059504902 is about 45381.7683877568. The cubic root of 2059504902 is about 1272.2943834784.

The spelling of 2059504902 in words is "two billion, fifty-nine million, five hundred four thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 40559 50778 81118 121677 243354 283913 365031 527267 567826 730062 851739 1054534 1257329 1581801 1703478 2514658 2555217 3163602 3690869 3771987 4745403 5110434 7381738 7543974 8801303 9490806 11072607 11315961 16345277 17602606 22145214 22631922 26403909 32690554 33217821 49035831 52807818 66435642 79211727 98071662 114416939 147107493 158423454 228833878 294214986 343250817 686501634 1029752451 2059504902