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46105728 = 273120067
BaseRepresentation
bin1010111111100…
…0010010000000
310012202102011120
42233320102000
543300340403
64324112240
71066615014
oct257702200
9105672146
1046105728
1124030a09
1213535680
1397239c6
1461a2544
1540aae53
hex2bf8480

46105728 has 32 divisors (see below), whose sum is σ = 122469360. Its totient is φ = 15368448.

The previous prime is 46105721. The next prime is 46105733. The reversal of 46105728 is 82750164.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46105721) by changing a digit.

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, 59650 + ... + 60417.

Almost surely, 246105728 is an apocalyptic number.

46105728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46105728 is an abundant number, since it is smaller than the sum of its proper divisors (76363632).

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

46105728 is a wasteful number, since it uses less digits than its factorization.

46105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120084 (or 120072 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 46105728 is about 6790.1198811214. The cubic root of 46105728 is about 358.5790904478.

The spelling of 46105728 in words is "forty-six million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 120067 240134 360201 480268 720402 960536 1440804 1921072 2881608 3842144 5763216 7684288 11526432 15368576 23052864 46105728