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2453401125 = 32537192863
BaseRepresentation
bin1001001000111011…
…1110111000100101
320022222111200122100
42102032332320211
520011032314000
61043240522313
7114540364650
oct22216767045
96288450570
102453401125
11104997663a
12585780399
13301395156
14193ba0897
15e55c3a00
hex923bee25

2453401125 has 144 divisors (see below), whose sum is σ = 5340681216. Its totient is φ = 1061294400.

The previous prime is 2453401123. The next prime is 2453401127. The reversal of 2453401125 is 5211043542.

2453401125 is a `hidden beast` number, since 2 + 4 + 534 + 0 + 1 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (2453401123) and next prime (2453401127).

It is not a de Polignac number, because 2453401125 - 21 = 2453401123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453401123) 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 143 ways as a sum of consecutive naturals, for example, 2842444 + ... + 2843306.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 22453401125 is an apocalyptic number.

2453401125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2453401125 is an abundant number, since it is smaller than the sum of its proper divisors (2887280091).

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

2453401125 is a wasteful number, since it uses less digits than its factorization.

2453401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2453401125 is about 49531.8193184947. The cubic root of 2453401125 is about 1348.7232785569.

Adding to 2453401125 its reverse (5211043542), we get a palindrome (7664444667).

The spelling of 2453401125 in words is "two billion, four hundred fifty-three million, four hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 125 133 171 175 225 285 315 361 375 399 475 525 665 855 863 875 1083 1125 1197 1425 1575 1805 1995 2375 2527 2589 2625 3249 3325 4275 4315 5415 5985 6041 7125 7581 7767 7875 9025 9975 12635 12945 16245 16397 16625 18123 21375 21575 22743 27075 29925 30205 37905 38835 45125 49191 49875 54369 63175 64725 81225 81985 90615 107875 113715 114779 135375 147573 149625 151025 189525 194175 245955 271845 311543 315875 323625 344337 406125 409925 453075 568575 573895 737865 755125 934629 947625 970875 1033011 1229775 1359225 1557715 1721685 2049625 2180801 2265375 2803887 2842875 2869475 3689325 4673145 5165055 6148875 6542403 6796125 7788575 8608425 10904005 14019435 14347375 18446625 19627209 23365725 25825275 32712015 38942875 43042125 54520025 70097175 98136045 116828625 129126375 163560075 272600125 350485875 490680225 817800375 2453401125