[go: up one dir, main page]

Search a number
-
+
2572013196 = 2233592111913
BaseRepresentation
bin1001100101001101…
…1100111010001100
320122020200210211000
42121103130322030
520231413410241
61103115100300
7120510515514
oct23123347214
96566623730
102572013196
1110aa91a645
125b9441690
1331cb243cc
141a5838844
15100c02eb6
hex994dce8c

2572013196 has 96 divisors (see below), whose sum is σ = 6816902400. Its totient is φ = 838373760.

The previous prime is 2572013167. The next prime is 2572013207. The reversal of 2572013196 is 6913102752.

2572013196 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×25720131964 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2572013196.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343536 + ... + 1345448.

It is an arithmetic number, because the mean of its divisors is an integer number (71009400).

Almost surely, 22572013196 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 2572013196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408451200).

2572013196 is an abundant number, since it is smaller than the sum of its proper divisors (4244889204).

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

2572013196 is a wasteful number, since it uses less digits than its factorization.

2572013196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2572013196 is about 50715.0194321170. The cubic root of 2572013196 is about 1370.1172393319.

The spelling of 2572013196 in words is "two billion, five hundred seventy-two million, thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 211 236 354 422 531 633 708 844 1062 1266 1593 1899 1913 2124 2532 3186 3798 3826 5697 5739 6372 7596 7652 11394 11478 12449 17217 22788 22956 24898 34434 37347 49796 51651 68868 74694 103302 112041 112867 149388 206604 224082 225734 336123 338601 403643 448164 451468 672246 677202 807286 1015803 1210929 1344492 1354404 1614572 2031606 2421858 3047409 3632787 4063212 4843716 6094818 7265574 10898361 12189636 14531148 21796722 23814937 43593444 47629874 71444811 95259748 142889622 214334433 285779244 428668866 643003299 857337732 1286006598 2572013196