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461443040 = 2556147279
BaseRepresentation
bin11011100000010…
…000111111100000
31012011021201211222
4123200100333200
51421112134130
6113442154212
714302125662
oct3340207740
91164251758
10461443040
11217521a93
1210a652968
13747a5326
14453da532
152a79dce5
hex1b810fe0

461443040 has 48 divisors (see below), whose sum is σ = 1108054080. Its totient is φ = 181547520.

The previous prime is 461443027. The next prime is 461443049. The reversal of 461443040 is 40344164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461443049) 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 7 ways as a sum of consecutive naturals, for example, 13880 + ... + 33399.

It is an arithmetic number, because the mean of its divisors is an integer number (23084460).

Almost surely, 2461443040 is an apocalyptic number.

461443040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461443040 is an abundant number, since it is smaller than the sum of its proper divisors (646611040).

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

461443040 is a wasteful number, since it uses less digits than its factorization.

461443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47355 (or 47347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 461443040 is about 21481.2252909372. The cubic root of 461443040 is about 772.7506278943.

The spelling of 461443040 in words is "four hundred sixty-one million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 47279 94558 189116 236395 378232 472790 756464 945580 1512928 1891160 2884019 3782320 5768038 7564640 11536076 14420095 23072152 28840190 46144304 57680380 92288608 115360760 230721520 461443040