Search a number
-
+
850427136 = 28321328393
BaseRepresentation
bin110010101100000…
…111110100000000
32012021020011201100
4302230013310000
53220202132021
6220215334400
730034340256
oct6254076400
92167204640
10850427136
113a7053549
121b8981400
1310725a830
1480d345d6
154e9d8626
hex32b07d00

850427136 has 108 divisors (see below), whose sum is σ = 2640698788. Its totient is φ = 261660672.

The previous prime is 850427113. The next prime is 850427141. The reversal of 850427136 is 631724058.

It can be written as a sum of positive squares in 2 ways, for example, as 526427136 + 324000000 = 22944^2 + 18000^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 850427136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15756 + ... + 44148.

Almost surely, 2850427136 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 850427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320349394).

850427136 is an abundant number, since it is smaller than the sum of its proper divisors (1790271652).

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

850427136 is a wasteful number, since it uses less digits than its factorization.

850427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28428 (or 28411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 850427136 is about 29162.0838761567. The cubic root of 850427136 is about 947.4268821311.

The spelling of 850427136 in words is "eight hundred fifty million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 28393 29952 56786 85179 113572 170358 227144 255537 340716 369109 454288 511074 681432 738218 908576 1022148 1107327 1362864 1476436 1817152 2044296 2214654 2725728 2952872 3321981 3634304 4088592 4429308 5451456 5905744 6643962 7268608 8177184 8858616 10902912 11811488 13287924 16354368 17717232 21805824 23622976 26575848 32708736 35434464 47245952 53151696 65417472 70868928 94491904 106303392 141737856 212606784 283475712 425213568 850427136