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46430064 = 2433313467
BaseRepresentation
bin1011000100011…
…1011101110000
310020100220002000
42301013131300
543341230224
64335054000
71102435422
oct261073560
9106326060
1046430064
112423265a
1213671300
139808515
146248812
1541220c9
hex2c47770

46430064 has 80 divisors (see below), whose sum is σ = 137610240. Its totient is φ = 14973120.

The previous prime is 46430051. The next prime is 46430071. The reversal of 46430064 is 46003464.

It is a happy number.

46430064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11659 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 246430064 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 46430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68805120).

46430064 is an abundant number, since it is smaller than the sum of its proper divisors (91180176).

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

46430064 is a wasteful number, since it uses less digits than its factorization.

46430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46430064 is about 6813.9609626120. The cubic root of 46430064 is about 359.4179483290.

The spelling of 46430064 in words is "forty-six million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 3467 4464 6696 6934 10401 13392 13868 20802 27736 31203 41604 55472 62406 83208 93609 107477 124812 166416 187218 214954 249624 322431 374436 429908 499248 644862 748872 859816 967293 1289724 1497744 1719632 1934586 2579448 2901879 3869172 5158896 5803758 7738344 11607516 15476688 23215032 46430064