Search a number
-
+
564246150 = 2352131717021
BaseRepresentation
bin100001101000011…
…011011010000110
31110022201200012120
4201220123122012
52123421334100
6131553430410
716661004336
oct4150333206
91408650176
10564246150
1126a558536
12138b6b406
138cb8a980
1454d1b0c6
15348090a0
hex21a1b686

564246150 has 96 divisors (see below), whose sum is σ = 1595710368. Its totient is φ = 130713600.

The previous prime is 564246149. The next prime is 564246161. The reversal of 564246150 is 51642465.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24640 + ... + 41660.

It is an arithmetic number, because the mean of its divisors is an integer number (16621983).

Almost surely, 2564246150 is an apocalyptic number.

564246150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 564246150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797855184).

564246150 is an abundant number, since it is smaller than the sum of its proper divisors (1031464218).

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

564246150 is a wasteful number, since it uses less digits than its factorization.

564246150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066 (or 17061 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 564246150 is about 23753.8660011376. The cubic root of 564246150 is about 826.3351017769.

The spelling of 564246150 in words is "five hundred sixty-four million, two hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1950 2210 2550 3315 5525 6630 11050 16575 17021 33150 34042 51063 85105 102126 170210 221273 255315 289357 425525 442546 510630 578714 663819 851050 868071 1106365 1276575 1327638 1446785 1736142 2212730 2553150 2893570 3319095 3761641 4340355 5531825 6638190 7233925 7523282 8680710 11063650 11284923 14467850 16595475 18808205 21701775 22569846 33190950 37616410 43403550 56424615 94041025 112849230 188082050 282123075 564246150