Search a number
-
+
842807216 = 24238925733
BaseRepresentation
bin110010001111000…
…011011110110000
32011201220001011002
4302033003132300
53211224312331
6215344141132
726612512616
oct6217033660
92151801132
10842807216
113a2819599
121b63077a8
131057c03c4
147dd0d6b6
154ded09cb
hex323c37b0

842807216 has 40 divisors (see below), whose sum is σ = 1723148640. Its totient is φ = 398537216.

The previous prime is 842807191. The next prime is 842807237. The reversal of 842807216 is 612708248.

842807216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 842807216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19886 + ... + 45618.

It is an arithmetic number, because the mean of its divisors is an integer number (43078716).

Almost surely, 2842807216 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 842807216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861574320).

842807216 is an abundant number, since it is smaller than the sum of its proper divisors (880341424).

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

842807216 is a wasteful number, since it uses less digits than its factorization.

842807216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25853 (or 25847 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 842807216 is about 29031.1421752572. The cubic root of 842807216 is about 944.5887056138.

The spelling of 842807216 in words is "eight hundred forty-two million, eight hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 89 92 178 184 356 368 712 1424 2047 4094 8188 16376 25733 32752 51466 102932 205864 411728 591859 1183718 2290237 2367436 4580474 4734872 9160948 9469744 18321896 36643792 52675451 105350902 210701804 421403608 842807216