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490802760 = 23335764921
BaseRepresentation
bin11101010000010…
…000111001001000
31021012112100211000
4131100100321020
52001121142020
6120411335000
715106516560
oct3520207110
91235470730
10490802760
11232055418
12118451460
137a8b4a46
144927dda0
152d14d090
hex1d410e48

490802760 has 128 divisors (see below), whose sum is σ = 1869753600. Its totient is φ = 112181760.

The previous prime is 490802729. The next prime is 490802761. The reversal of 490802760 is 67208094.

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 (490802761) 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, 24901 + ... + 40020.

It is an arithmetic number, because the mean of its divisors is an integer number (14607450).

Almost surely, 2490802760 is an apocalyptic number.

490802760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490802760 is an abundant number, since it is smaller than the sum of its proper divisors (1378950840).

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

490802760 is a wasteful number, since it uses less digits than its factorization.

490802760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64948 (or 64938 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 490802760 is about 22154.0687008053. The cubic root of 490802760 is about 788.8038084386.

The spelling of 490802760 in words is "four hundred ninety million, eight hundred two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 64921 129842 194763 259684 324605 389526 454447 519368 584289 649210 779052 908894 973815 1168578 1298420 1363341 1558104 1752867 1817788 1947630 2272235 2337156 2596840 2726682 2921445 3505734 3635576 3895260 4090023 4544470 4674312 5453364 5842890 6816705 7011468 7790520 8180046 8764335 9088940 10906728 11685780 12270069 13633410 14022936 16360092 17528670 18177880 20450115 23371560 24540138 27266820 32720184 35057340 40900230 49080276 54533640 61350345 70114680 81800460 98160552 122700690 163600920 245401380 490802760