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457491480 = 233516672287
BaseRepresentation
bin11011010001001…
…100010000011000
31011212211222022220
4123101030100120
51414104211410
6113221344040
714223420255
oct3321142030
91155758286
10457491480
11215273136
12109268020
1373a20824
1444a8c42c
152a26d070
hex1b44c418

457491480 has 64 divisors (see below), whose sum is σ = 1373898240. Its totient is φ = 121871232.

The previous prime is 457491469. The next prime is 457491497. The reversal of 457491480 is 84194754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198897 + ... + 201183.

It is an arithmetic number, because the mean of its divisors is an integer number (21467160).

Almost surely, 2457491480 is an apocalyptic number.

457491480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457491480 is an abundant number, since it is smaller than the sum of its proper divisors (916406760).

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

457491480 is a wasteful number, since it uses less digits than its factorization.

457491480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 457491480 is about 21389.0504698081. The cubic root of 457491480 is about 770.5384887911.

The spelling of 457491480 in words is "four hundred fifty-seven million, four hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1667 2287 3334 4574 5001 6668 6861 8335 9148 10002 11435 13336 13722 16670 18296 20004 22870 25005 27444 33340 34305 40008 45740 50010 54888 66680 68610 91480 100020 137220 200040 274440 3812429 7624858 11437287 15249716 19062145 22874574 30499432 38124290 45749148 57186435 76248580 91498296 114372870 152497160 228745740 457491480