Search a number
-
+
46144640 = 27572101
BaseRepresentation
bin1011000000000…
…1110010000000
310012211101112202
42300001302000
543303112030
64325012332
71100136323
oct260016200
9105741482
1046144640
1124058173
12135540a8
139738629
1461b27ba
1540b7745
hex2c01c80

46144640 has 32 divisors (see below), whose sum is σ = 110316060. Its totient is φ = 18457600.

The previous prime is 46144603. The next prime is 46144643. The reversal of 46144640 is 4644164.

It can be written as a sum of positive squares in 2 ways, for example, as 43349056 + 2795584 = 6584^2 + 1672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46144643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35411 + ... + 36690.

Almost surely, 246144640 is an apocalyptic number.

46144640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46144640 is an abundant number, since it is smaller than the sum of its proper divisors (64171420).

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

46144640 is an equidigital number, since it uses as much as digits as its factorization.

46144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72120 (or 72108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 46144640 is about 6792.9846164996. The cubic root of 46144640 is about 358.6799391326.

The spelling of 46144640 in words is "forty-six million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 72101 144202 288404 360505 576808 721010 1153616 1442020 2307232 2884040 4614464 5768080 9228928 11536160 23072320 46144640