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490356736 = 2141732
BaseRepresentation
bin11101001110100…
…100000000000000
31021011200200222121
4131032210000000
52001012403421
6120354014024
715102651322
oct3516440000
91234620877
10490356736
11231880301
12118277314
137a789a1c
14491a5612
152d0b0d41
hex1d3a4000

490356736 has 45 divisors (see below), whose sum is σ = 986385001. Its totient is φ = 243761152.

The previous prime is 490356733. The next prime is 490356739. The reversal of 490356736 is 637653094.

The square root of 490356736 is 22144.

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

It is an interprime number because it is at equal distance from previous prime (490356733) and next prime (490356739).

It can be written as a sum of positive squares in only one way, i.e., 446054400 + 44302336 = 21120^2 + 6656^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 490356692 and 490356701.

It is not an unprimeable number, because it can be changed into a prime (490356733) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2834346 + ... + 2834518.

Almost surely, 2490356736 is an apocalyptic number.

490356736 is the 22144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490356736

490356736 is an abundant number, since it is smaller than the sum of its proper divisors (496028265).

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

490356736 is an frugal number, since it uses more digits than its factorization.

490356736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The cubic root of 490356736 is about 788.5647904543.

The spelling of 490356736 in words is "four hundred ninety million, three hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2048 2768 4096 5536 8192 11072 16384 22144 29929 44288 59858 88576 119716 177152 239432 354304 478864 708608 957728 1417216 1915456 2834432 3830912 7661824 15323648 30647296 61294592 122589184 245178368 490356736