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853157916 = 2232138920483
BaseRepresentation
bin110010110110100…
…010100000011100
32012110100220122100
4302312202200130
53221402023131
6220354045100
730066502602
oct6266424034
92173326570
10853157916
113a8649196
121b9879790
131079a5790
1481445872
154ed777e6
hex32da281c

853157916 has 72 divisors (see below), whose sum is σ = 2348695440. Its totient is φ = 259547904.

The previous prime is 853157911. The next prime is 853157957. The reversal of 853157916 is 619751358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853157911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31411 + ... + 51893.

It is an arithmetic number, because the mean of its divisors is an integer number (32620770).

Almost surely, 2853157916 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 853157916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174347720).

853157916 is an abundant number, since it is smaller than the sum of its proper divisors (1495537524).

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

853157916 is a wasteful number, since it uses less digits than its factorization.

853157916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20595 (or 20590 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 853157916 is about 29208.8670783377. The cubic root of 853157916 is about 948.4398829164.

The spelling of 853157916 in words is "eight hundred fifty-three million, one hundred fifty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20483 20826 40966 41652 61449 81932 122898 184347 245796 266279 368694 532558 737388 798837 1065116 1597674 1822987 2396511 3195348 3645974 4793022 5468961 7291948 9586044 10937922 16406883 21875844 23698831 32813766 47397662 65627532 71096493 94795324 142192986 213289479 284385972 426578958 853157916