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457275440 = 24510695347
BaseRepresentation
bin11011010000010…
…111100000110000
31011212102222222102
4123100113200300
51414030303230
6113212555532
714221530356
oct3320274060
91155388872
10457275440
11215135896
12109182ba8
13739763ab
1444a337d6
152a229045
hex1b417830

457275440 has 40 divisors (see below), whose sum is σ = 1064358960. Its totient is φ = 182704896.

The previous prime is 457275437. The next prime is 457275457. The reversal of 457275440 is 44572754.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 457275394 and 457275403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82847 + ... + 88193.

It is an arithmetic number, because the mean of its divisors is an integer number (26608974).

Almost surely, 2457275440 is an apocalyptic number.

457275440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457275440 is an abundant number, since it is smaller than the sum of its proper divisors (607083520).

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

457275440 is a wasteful number, since it uses less digits than its factorization.

457275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 38.

The square root of 457275440 is about 21383.9996258885. Note that the first 3 decimals coincide. The cubic root of 457275440 is about 770.4171799051.

The spelling of 457275440 in words is "four hundred fifty-seven million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1069 2138 4276 5345 5347 8552 10690 10694 17104 21380 21388 26735 42760 42776 53470 85520 85552 106940 213880 427760 5715943 11431886 22863772 28579715 45727544 57159430 91455088 114318860 228637720 457275440