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1456425420 = 223527778741
BaseRepresentation
bin101011011001111…
…0100100111001100
310202111112002002020
41112303310213030
510440321103140
6400304130140
751043261152
oct12663644714
93674462066
101456425420
11688128a7a
12347906950
131a29766b8
14db5dd3d2
1587cdd6d0
hex56cf49cc

1456425420 has 48 divisors (see below), whose sum is σ = 4079926368. Its totient is φ = 388195840.

The previous prime is 1456425407. The next prime is 1456425457. The reversal of 1456425420 is 245246541.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162250 + ... + 170990.

It is an arithmetic number, because the mean of its divisors is an integer number (84998466).

Almost surely, 21456425420 is an apocalyptic number.

1456425420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456425420 is an abundant number, since it is smaller than the sum of its proper divisors (2623500948).

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

1456425420 is a wasteful number, since it uses less digits than its factorization.

1456425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 1456425420 is about 38163.1421662315. The cubic root of 1456425420 is about 1133.5205990056.

The spelling of 1456425420 in words is "one billion, four hundred fifty-six million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2777 5554 8331 8741 11108 13885 16662 17482 26223 27770 33324 34964 41655 43705 52446 55540 83310 87410 104892 131115 166620 174820 262230 524460 24273757 48547514 72821271 97095028 121368785 145642542 242737570 291285084 364106355 485475140 728212710 1456425420