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490079232 = 21032411297
BaseRepresentation
bin11101001101100…
…000010000000000
31021011011121022200
4131031200100000
52000430013412
6120344033200
715100414266
oct3515402000
91234147280
10490079232
11231700865
12118162800
137a6c0616
1449132436
152d0589dc
hex1d360400

490079232 has 132 divisors (see below), whose sum is σ = 1450725276. Its totient is φ = 159252480.

The previous prime is 490079231. The next prime is 490079269. The reversal of 490079232 is 232970094.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 204604416 = 16896^2 + 14304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (490079231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377208 + ... + 378504.

It is an arithmetic number, because the mean of its divisors is an integer number (10990343).

Almost surely, 2490079232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490079232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725362638).

490079232 is an abundant number, since it is smaller than the sum of its proper divisors (960646044).

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

490079232 is a wasteful number, since it uses less digits than its factorization.

490079232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 490079232 is about 22137.7332172921. The cubic root of 490079232 is about 788.4160068166.

The spelling of 490079232 in words is "four hundred ninety million, seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1297 1312 1476 1536 1968 2304 2594 2624 2952 3072 3891 3936 4608 5188 5248 5904 7782 7872 9216 10376 10496 11673 11808 15564 15744 20752 20992 23346 23616 31128 31488 41504 41984 46692 47232 53177 62256 62976 83008 93384 94464 106354 124512 125952 159531 166016 186768 188928 212708 249024 319062 332032 373536 377856 425416 478593 498048 638124 664064 747072 850832 957186 996096 1276248 1328128 1494144 1701664 1914372 1992192 2552496 2988288 3403328 3828744 3984384 5104992 5976576 6806656 7657488 10209984 11953152 13613312 15314976 20419968 27226624 30629952 40839936 54453248 61259904 81679872 122519808 163359744 245039616 490079232