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46390480 = 245579881
BaseRepresentation
bin1011000011110…
…1110011010000
310020021212202221
42300331303100
543333443410
64334150424
71102212133
oct260756320
9106255687
1046390480
1124205944
1213652414
1397c34b6
14623821a
1541154da
hex2c3dcd0

46390480 has 20 divisors (see below), whose sum is σ = 107858052. Its totient is φ = 18556160.

The previous prime is 46390451. The next prime is 46390483. The reversal of 46390480 is 8409364.

46390480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 28344976 = 4248^2 + 5324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46390483) 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 3 ways as a sum of consecutive naturals, for example, 289861 + ... + 290020.

Almost surely, 246390480 is an apocalyptic number.

46390480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46390480 is an abundant number, since it is smaller than the sum of its proper divisors (61467572).

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

46390480 is a wasteful number, since it uses less digits than its factorization.

46390480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579894 (or 579888 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 46390480 is about 6811.0557184624. The cubic root of 46390480 is about 359.3157785716.

The spelling of 46390480 in words is "forty-six million, three hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 579881 1159762 2319524 2899405 4639048 5798810 9278096 11597620 23195240 46390480