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850538896 = 242323172
BaseRepresentation
bin110010101100100…
…011000110010000
32012021102212000121
4302230203012100
53220214221041
6220222000024
730035314144
oct6254430620
92167385017
10850538896
113a711a509
121b8a16014
1310729966c
1480d63224
154ea0b7d1
hex32b23190

850538896 has 45 divisors (see below), whose sum is σ = 1728134401. Its totient is φ = 405496256.

The previous prime is 850538879. The next prime is 850538911. The reversal of 850538896 is 698835058.

It is a happy number.

The square root of 850538896 is 29164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47610000 + 802928896 = 6900^2 + 28336^2 .

It is a super-3 number, since 3×8505388963 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2682930 + ... + 2683246.

Almost surely, 2850538896 is an apocalyptic number.

850538896 is the 29164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850538896

850538896 is an abundant number, since it is smaller than the sum of its proper divisors (877595505).

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

850538896 is an equidigital number, since it uses as much as digits as its factorization.

850538896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The cubic root of 850538896 is about 947.4683827630.

The spelling of 850538896 in words is "eight hundred fifty million, five hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 317 368 529 634 1058 1268 2116 2536 4232 5072 7291 8464 14582 29164 58328 100489 116656 167693 200978 335386 401956 670772 803912 1341544 1607824 2311247 2683088 4622494 9244988 18489976 36979952 53158681 106317362 212634724 425269448 850538896