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490550580 = 223451323293
BaseRepresentation
bin11101001111010…
…011010100110100
31021012001112220000
4131033103110310
52001040104310
6120402111300
715104416422
oct3517232464
91235045800
10490550580
112319a2a03
1211834b530
137a827020
1449216112
152d0ed4c0
hex1d3d3534

490550580 has 120 divisors (see below), whose sum is σ = 1657321512. Its totient is φ = 120745728.

The previous prime is 490550539. The next prime is 490550597. The reversal of 490550580 is 85055094.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 475152804 = 3924^2 + 21798^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9414 + ... + 32706.

Almost surely, 2490550580 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 490550580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828660756).

490550580 is an abundant number, since it is smaller than the sum of its proper divisors (1166770932).

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

490550580 is a wasteful number, since it uses less digits than its factorization.

490550580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23327 (or 23316 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 490550580 is about 22148.3764642016. The cubic root of 490550580 is about 788.6686865257.

The spelling of 490550580 in words is "four hundred ninety million, five hundred fifty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 23293 46586 69879 93172 116465 139758 209637 232930 279516 302809 349395 419274 465860 605618 628911 698790 838548 908427 1048185 1211236 1257822 1397580 1514045 1816854 1886733 2096370 2515644 2725281 3028090 3144555 3633708 3773466 4192740 4542135 5450562 6056180 6289110 7546932 8175843 9084270 9433665 10901124 12578220 13626405 16351686 18168540 18867330 24527529 27252810 32703372 37734660 40879215 49055058 54505620 81758430 98110116 122637645 163516860 245275290 490550580