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457348125 = 3541329647
BaseRepresentation
bin11011010000101…
…001010000011101
31011212120200200110
4123100221100131
51414040120000
6113214320233
714222252313
oct3320512035
91155520613
10457348125
11215185463
121091b9079
13739a04c0
1444a520b3
152a240850
hex1b42941d

457348125 has 80 divisors (see below), whose sum is σ = 850227840. Its totient is φ = 217056000.

The previous prime is 457348121. The next prime is 457348147. The reversal of 457348125 is 521843754.

It is not a de Polignac number, because 457348125 - 22 = 457348121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457348121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 706552 + ... + 707198.

It is an arithmetic number, because the mean of its divisors is an integer number (10627848).

Almost surely, 2457348125 is an apocalyptic number.

It is an amenable number.

457348125 is a deficient number, since it is larger than the sum of its proper divisors (392879715).

457348125 is a wasteful number, since it uses less digits than its factorization.

457348125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 457348125 is about 21385.6990767195. The cubic root of 457348125 is about 770.4579976129.

The spelling of 457348125 in words is "four hundred fifty-seven million, three hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 29 39 65 75 87 125 145 195 325 375 377 435 625 647 725 975 1131 1625 1875 1885 1941 2175 3235 3625 4875 5655 8125 8411 9425 9705 10875 16175 18125 18763 24375 25233 28275 42055 47125 48525 54375 56289 80875 93815 126165 141375 210275 235625 242625 243919 281445 404375 469075 630825 706875 731757 1051375 1213125 1219595 1407225 2345375 3154125 3658785 5256875 6097975 7036125 11726875 15770625 18293925 30489875 35180625 91469625 152449375 457348125