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490777344 = 2832293727
BaseRepresentation
bin11101010000001…
…010101100000000
31021012111001221200
4131100022230000
52001114333334
6120411021200
715106352511
oct3520125400
91235431850
10490777344
11232038312
1211843a800
137a8a62c5
1449274a08
152d145799
hex1d40ab00

490777344 has 108 divisors (see below), whose sum is σ = 1421814576. Its totient is φ = 162809856.

The previous prime is 490777307. The next prime is 490777351. The reversal of 490777344 is 443777094.

It is a self number, because there is not a number n which added to its sum of digits gives 490777344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674709 + ... + 675435.

Almost surely, 2490777344 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 490777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710907288).

490777344 is an abundant number, since it is smaller than the sum of its proper divisors (931037232).

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

490777344 is a wasteful number, since it uses less digits than its factorization.

490777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 490777344 is about 22153.4950741412. The cubic root of 490777344 is about 788.7901922535.

The spelling of 490777344 in words is "four hundred ninety million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 293 384 576 586 727 768 879 1152 1172 1454 1758 2181 2304 2344 2637 2908 3516 4362 4688 5274 5816 6543 7032 8724 9376 10548 11632 13086 14064 17448 18752 21096 23264 26172 28128 34896 37504 42192 46528 52344 56256 69792 75008 84384 93056 104688 112512 139584 168768 186112 209376 213011 225024 279168 337536 418752 426022 558336 639033 675072 837504 852044 1278066 1675008 1704088 1917099 2556132 3408176 3834198 5112264 6816352 7668396 10224528 13632704 15336792 20449056 27265408 30673584 40898112 54530816 61347168 81796224 122694336 163592448 245388672 490777344