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490764432 = 243172379331
BaseRepresentation
bin11101010000000…
…111100010010000
31021012110102020110
4131100013202100
52001113430212
6120410441320
715106300044
oct3520074220
91235412213
10490764432
11232029644
12118433240
137a8a0472
1449270024
152d141a3c
hex1d407890

490764432 has 160 divisors (see below), whose sum is σ = 1422766080. Its totient is φ = 144967680.

The previous prime is 490764413. The next prime is 490764437. The reversal of 490764432 is 234467094.

It is not an unprimeable number, because it can be changed into a prime (490764437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482507 + ... + 1482837.

It is an arithmetic number, because the mean of its divisors is an integer number (8892288).

Almost surely, 2490764432 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 490764432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711383040).

490764432 is an abundant number, since it is smaller than the sum of its proper divisors (932001648).

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

490764432 is a wasteful number, since it uses less digits than its factorization.

490764432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 490764432 is about 22153.2036509395. The cubic root of 490764432 is about 788.7832746914.

The spelling of 490764432 in words is "four hundred ninety million, seven hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 79 92 102 136 138 158 184 204 237 272 276 316 331 368 391 408 474 552 632 662 782 816 948 993 1104 1173 1264 1324 1343 1564 1817 1896 1986 2346 2648 2686 3128 3634 3792 3972 4029 4692 5296 5372 5451 5627 6256 7268 7613 7944 8058 9384 10744 10902 11254 14536 15226 15888 16116 16881 18768 21488 21804 22508 22839 26149 29072 30452 30889 32232 33762 43608 45016 45678 52298 60904 61778 64464 67524 78447 87216 90032 91356 92667 104596 121808 123556 129421 135048 156894 182712 185334 209192 247112 258842 270096 313788 365424 370668 388263 418384 444533 494224 517684 601427 627576 741336 776526 889066 1035368 1202854 1255152 1333599 1482672 1553052 1778132 1804281 2070736 2405708 2667198 3106104 3556264 3608562 4811416 5334396 6212208 7112528 7217124 9622832 10224259 10668792 14434248 20448518 21337584 28868496 30672777 40897036 61345554 81794072 122691108 163588144 245382216 490764432