Search a number
-
+
490936080 = 24352045567
BaseRepresentation
bin11101010000110…
…001011100010000
31021012210010200210
4131100301130100
52001134423310
6120414244120
715110613345
oct3520613420
91235703623
10490936080
112321365a8
121184b6640
137a93062b
14492b67cc
152d177820
hex1d431710

490936080 has 40 divisors (see below), whose sum is σ = 1521902592. Its totient is φ = 130916224.

The previous prime is 490936067. The next prime is 490936123. The reversal of 490936080 is 80639094.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022544 + ... + 1023023.

Almost surely, 2490936080 is an apocalyptic number.

490936080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490936080 is an abundant number, since it is smaller than the sum of its proper divisors (1030966512).

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

490936080 is a wasteful number, since it uses less digits than its factorization.

490936080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045583 (or 2045577 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 490936080 is about 22157.0774246063. The cubic root of 490936080 is about 788.8752246379.

The spelling of 490936080 in words is "four hundred ninety million, nine hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2045567 4091134 6136701 8182268 10227835 12273402 16364536 20455670 24546804 30683505 32729072 40911340 49093608 61367010 81822680 98187216 122734020 163645360 245468040 490936080