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490533904 = 24741132
BaseRepresentation
bin11101001111001…
…111010000010000
31021012000201000101
4131033033100100
52001034041104
6120401502144
715104320000
oct3517172020
91235021011
10490533904
11231991423
12118341954
137a81c563
1449210000
152d0e85a4
hex1d3cf410

490533904 has 75 divisors (see below), whose sum is σ = 1118643773. Its totient is φ = 208368384.

The previous prime is 490533893. The next prime is 490533907. The reversal of 490533904 is 409335094.

The square root of 490533904 is 22148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 481890304 = 2940^2 + 21952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490533907) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4340952 + ... + 4341064.

Almost surely, 2490533904 is an apocalyptic number.

490533904 is the 22148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490533904

490533904 is an abundant number, since it is smaller than the sum of its proper divisors (628109869).

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

490533904 is an frugal number, since it uses more digits than its factorization.

490533904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The cubic root of 490533904 is about 788.6597496369.

Adding to 490533904 its reverse (409335094), we get a palindrome (899868998).

It can be divided in two parts, 4905 and 33904, that added together give a square (38809 = 1972).

The spelling of 490533904 in words is "four hundred ninety million, five hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 343 392 452 686 784 791 904 1372 1582 1808 2401 2744 3164 4802 5488 5537 6328 9604 11074 12656 12769 19208 22148 25538 38416 38759 44296 51076 77518 88592 89383 102152 155036 178766 204304 271313 310072 357532 542626 620144 625681 715064 1085252 1251362 1430128 2170504 2502724 4341008 4379767 5005448 8759534 10010896 17519068 30658369 35038136 61316738 70076272 122633476 245266952 490533904