Search a number
-
+
851148738 = 2321119613709
BaseRepresentation
bin110010101110110…
…111111111000010
32012022120211120100
4302232313333002
53220343224423
6220243023230
730043434126
oct6256677702
92168524510
10851148738
113a74a6710
121b906ab16
1310745110b
1481081586
154eacc343
hex32bb7fc2

851148738 has 96 divisors (see below), whose sum is σ = 2152987200. Its totient is φ = 240278400.

The previous prime is 851148731. The next prime is 851148743. The reversal of 851148738 is 837841158.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 851148693 and 851148702.

It is not an unprimeable number, because it can be changed into a prime (851148731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227628 + ... + 231336.

It is an arithmetic number, because the mean of its divisors is an integer number (22426950).

Almost surely, 2851148738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851148738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076493600).

851148738 is an abundant number, since it is smaller than the sum of its proper divisors (1301838462).

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

851148738 is a wasteful number, since it uses less digits than its factorization.

851148738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3805 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 851148738 is about 29174.4535167328. The cubic root of 851148738 is about 947.6947756903.

The spelling of 851148738 in words is "eight hundred fifty-one million, one hundred forty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 61 66 99 114 122 171 183 198 209 342 366 418 549 627 671 1098 1159 1254 1342 1881 2013 2318 3477 3709 3762 4026 6039 6954 7418 10431 11127 12078 12749 20862 22254 25498 33381 38247 40799 66762 70471 76494 81598 114741 122397 140942 211413 226249 229482 244794 367191 422826 452498 634239 678747 734382 775181 1268478 1357494 1550362 2036241 2325543 2488739 4072482 4298731 4651086 4977478 6976629 7466217 8597462 12896193 13953258 14932434 22398651 25792386 38688579 44797302 47286041 77377158 94572082 141858123 283716246 425574369 851148738