[go: up one dir, main page]

Search a number
-
+
489392640 = 29325111931
BaseRepresentation
bin11101001010111…
…000101000000000
31021002212201111100
4131022320220000
52000241031030
6120321214400
715061524462
oct3512705000
91232781440
10489392640
11231281a30
12117a91400
137a50cc59
1448dd4132
152ce70360
hex1d2b8a00

489392640 has 240 divisors, whose sum is σ = 1849944096. Its totient is φ = 118579200.

The previous prime is 489392627. The next prime is 489392647. The reversal of 489392640 is 46293984.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (489392647) 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 23 ways as a sum of consecutive naturals, for example, 252475 + ... + 254405.

Almost surely, 2489392640 is an apocalyptic number.

489392640 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 489392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924972048).

489392640 is an abundant number, since it is smaller than the sum of its proper divisors (1360551456).

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

489392640 is a wasteful number, since it uses less digits than its factorization.

489392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 489392640 is about 22122.2205033762. The cubic root of 489392640 is about 788.0476492956.

It can be divided in two parts, 489 and 392640, that added together give a square (393129 = 6272).

The spelling of 489392640 in words is "four hundred eighty-nine million, three hundred ninety-two thousand, six hundred forty".