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828318150 = 234521118593
BaseRepresentation
bin110001010111110…
…010000111000110
32010201121220220000
4301113302013012
53144022140100
6214105422130
726345405502
oct6127620706
92121556800
10828318150
11395622760
121b149a946
131027b94aa
147c01b302
154cabc900
hex315f21c6

828318150 has 120 divisors (see below), whose sum is σ = 2510859384. Its totient is φ = 200793600.

The previous prime is 828318133. The next prime is 828318151. The reversal of 828318150 is 51813828.

828318150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8283181502 = 1372221915238845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828318151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35254 + ... + 53846.

Almost surely, 2828318150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828318150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255429692).

828318150 is an abundant number, since it is smaller than the sum of its proper divisors (1682541234).

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

828318150 is a wasteful number, since it uses less digits than its factorization.

828318150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18614 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 828318150 is about 28780.5168473396. The cubic root of 828318150 is about 939.1444418452.

The spelling of 828318150 in words is "eight hundred twenty-eight million, three hundred eighteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 270 275 297 330 405 450 495 550 594 675 810 825 891 990 1350 1485 1650 1782 2025 2475 2970 4050 4455 4950 7425 8910 14850 18593 22275 37186 44550 55779 92965 111558 167337 185930 204523 278895 334674 409046 464825 502011 557790 613569 836685 929650 1004022 1022615 1227138 1394475 1506033 1673370 1840707 2045230 2510055 2788950 3012066 3067845 3681414 4183425 5020110 5113075 5522121 6135690 7530165 8366850 9203535 10226150 11044242 12550275 15060330 15339225 16566363 18407070 25100550 27610605 30678450 33132726 37650825 46017675 55221210 75301650 82831815 92035350 138053025 165663630 276106050 414159075 828318150