Search a number
-
+
46164480 = 29356011
BaseRepresentation
bin1011000000011…
…0101000000000
310012212101202120
42300012220000
543304230410
64325244240
71100251215
oct260065000
9105771676
1046164480
112407106a
1213563680
13974467b
1461b9b0c
1540bd570
hex2c06a00

46164480 has 80 divisors (see below), whose sum is σ = 147606624. Its totient is φ = 12308480.

The previous prime is 46164467. The next prime is 46164527. The reversal of 46164480 is 8446164.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4675 + ... + 10685.

Almost surely, 246164480 is an apocalyptic number.

46164480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73803312).

46164480 is an abundant number, since it is smaller than the sum of its proper divisors (101442144).

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

46164480 is an equidigital number, since it uses as much as digits as its factorization.

46164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46164480 is about 6794.4447896793. Note that the first 3 decimals coincide. The cubic root of 46164480 is about 358.7313368706.

The spelling of 46164480 in words is "forty-six million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6011 7680 12022 18033 24044 30055 36066 48088 60110 72132 90165 96176 120220 144264 180330 192352 240440 288528 360660 384704 480880 577056 721320 769408 961760 1154112 1442640 1538816 1923520 2308224 2885280 3077632 3847040 4616448 5770560 7694080 9232896 11541120 15388160 23082240 46164480