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46480064 = 261136427
BaseRepresentation
bin1011000101001…
…1101011000000
310020110102122212
42301103223000
543344330224
64340121252
71103034251
oct261235300
9106412585
1046480064
1124267184
1213696228
1398251c7
14625cb28
154131d0e
hex2c53ac0

46480064 has 28 divisors (see below), whose sum is σ = 93064584. Its totient is φ = 23030784.

The previous prime is 46480037. The next prime is 46480073. The reversal of 46480064 is 46008464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 46480064.

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 3 ways as a sum of consecutive naturals, for example, 4019 + ... + 10445.

Almost surely, 246480064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532292).

46480064 is an abundant number, since it is smaller than the sum of its proper divisors (46584520).

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

46480064 is a wasteful number, since it uses less digits than its factorization.

46480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 46480064 is about 6817.6289133393. The cubic root of 46480064 is about 359.5469197241.

The spelling of 46480064 in words is "forty-six million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 6427 7232 12854 25708 51416 102832 205664 411328 726251 1452502 2905004 5810008 11620016 23240032 46480064