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2541433125 = 35471129607
BaseRepresentation
bin1001011101111011…
…0011000100100101
320120010011011211210
42113132303010211
520201101330000
61100103422033
7116656553010
oct22736630445
96503134753
102541433125
111094633360
125ab154919
133166a83aa
141a1758377
15ed1b2350
hex977b3125

2541433125 has 160 divisors (see below), whose sum is σ = 5470248960. Its totient is φ = 1018080000.

The previous prime is 2541433121. The next prime is 2541433151. The reversal of 2541433125 is 5213341452.

It is not a de Polignac number, because 2541433125 - 22 = 2541433121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2541433092 and 2541433101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541433121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4186572 + ... + 4187178.

It is an arithmetic number, because the mean of its divisors is an integer number (34189056).

Almost surely, 22541433125 is an apocalyptic number.

2541433125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2541433125 is an abundant number, since it is smaller than the sum of its proper divisors (2928815835).

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

2541433125 is a wasteful number, since it uses less digits than its factorization.

2541433125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2541433125 is about 50412.6286261687. The cubic root of 2541433125 is about 1364.6655515729.

Adding to 2541433125 its reverse (5213341452), we get a palindrome (7754774577).

The spelling of 2541433125 in words is "two billion, five hundred forty-one million, four hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 29 33 35 55 75 77 87 105 125 145 165 175 203 231 275 319 375 385 435 525 607 609 625 725 825 875 957 1015 1155 1375 1595 1821 1875 1925 2175 2233 2625 3035 3045 3625 4125 4249 4375 4785 5075 5775 6677 6699 6875 7975 9105 9625 10875 11165 12747 13125 15175 15225 17603 18125 20031 20625 21245 23925 25375 28875 33385 33495 39875 45525 46739 48125 52809 54375 55825 63735 75875 76125 88015 100155 106225 119625 123221 126875 140217 144375 166925 167475 193633 199375 227625 233695 264045 279125 318675 369663 379375 380625 440075 500775 531125 580899 598125 616105 701085 834625 837375 968165 1138125 1168475 1320225 1355431 1395625 1593375 1848315 2200375 2503875 2655625 2904495 3080525 3505425 4066293 4173125 4186875 4840825 5842375 6601125 6777155 7966875 9241575 11001875 12519375 14522475 15402625 17527125 20331465 24204125 29211875 33005625 33885775 46207875 72612375 77013125 87635625 101657325 121020625 169428875 231039375 363061875 508286625 847144375 2541433125