Search a number
-
+
2052641574 = 2341732579
BaseRepresentation
bin111101001011000…
…1101001100100110
312022001101222220000
41322112031030212
513200434012244
6535403122130
7101603110524
oct17226151446
95261358800
102052641574
11963731aa5
12493513346
13269348c19
1415687d314
15c0310169
hex7a58d326

2052641574 has 80 divisors (see below), whose sum is σ = 4888738800. Its totient is φ = 643716288.

The previous prime is 2052641551. The next prime is 2052641579. The reversal of 2052641574 is 4751462502.

It is a happy number.

2052641574 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 641 + 5 + 7 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052641579) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 794617 + ... + 797195.

It is an arithmetic number, because the mean of its divisors is an integer number (61109235).

Almost surely, 22052641574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052641574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444369400).

2052641574 is an abundant number, since it is smaller than the sum of its proper divisors (2836097226).

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

2052641574 is an equidigital number, since it uses as much as digits as its factorization.

2052641574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2052641574 is about 45306.0876042061. The cubic root of 2052641574 is about 1270.8794978449.

The spelling of 2052641574 in words is "two billion, fifty-two million, six hundred forty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2579 2601 2754 4913 5158 5202 7737 7803 9826 14739 15474 15606 23211 23409 29478 43843 44217 46422 46818 69633 87686 88434 131529 132651 139266 208899 263058 265302 394587 397953 417798 745331 789174 795906 1183761 1490662 2235993 2367522 3551283 4471986 6707979 7102566 12670627 13415958 20123937 25341254 38011881 40247874 60371811 76023762 114035643 120743622 228071286 342106929 684213858 1026320787 2052641574