Search a number
-
+
2052634032 = 243253449599
BaseRepresentation
bin111101001011000…
…1011010110110000
312022001101121112200
41322112023112300
513200433242112
6535403023200
7101603046531
oct17226132660
95261347480
102052634032
11963727369
1249350ab00
13269345667
1415687a688
15c030ccdc
hex7a58b5b0

2052634032 has 120 divisors (see below), whose sum is σ = 5875740000. Its totient is φ = 668688384.

The previous prime is 2052634021. The next prime is 2052634033. The reversal of 2052634032 is 2304362502.

2052634032 is a `hidden beast` number, since 20 + 5 + 2 + 634 + 0 + 3 + 2 = 666.

2052634032 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2052633987 and 2052634005.

It is not an unprimeable number, because it can be changed into a prime (2052634033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3426469 + ... + 3427067.

It is an arithmetic number, because the mean of its divisors is an integer number (48964500).

Almost surely, 22052634032 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 2052634032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937870000).

2052634032 is an abundant number, since it is smaller than the sum of its proper divisors (3823105968).

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

2052634032 is a wasteful number, since it uses less digits than its factorization.

2052634032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2052634032 is about 45306.0043702819. The cubic root of 2052634032 is about 1270.8779413164.

Adding to 2052634032 its reverse (2304362502), we get a palindrome (4356996534).

The spelling of 2052634032 in words is "two billion, fifty-two million, six hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 449 477 599 636 848 898 954 1198 1272 1347 1796 1797 1908 2396 2544 2694 3592 3594 3816 4041 4792 5388 5391 7184 7188 7632 8082 9584 10776 10782 14376 16164 21552 21564 23797 28752 31747 32328 43128 47594 63494 64656 71391 86256 95188 95241 126988 142782 190376 190482 214173 253976 268951 285564 285723 380752 380964 428346 507952 537902 571128 571446 761928 806853 856692 1075804 1142256 1142892 1523856 1613706 1713384 2151608 2285784 2420559 3227412 3426768 4303216 4571568 4841118 6454824 9682236 12909648 14254403 19364472 28508806 38728944 42763209 57017612 85526418 114035224 128289627 171052836 228070448 256579254 342105672 513158508 684211344 1026317016 2052634032