Search a number
-
+
834448048 = 24721139419
BaseRepresentation
bin110001101111001…
…010101010110000
32011011011100112021
4301233022222300
53202104314143
6214445041224
726451456100
oct6157125260
92134140467
10834448048
1139902a195
121b3556214
13103b54655
147cb75200
154d3cdced
hex31bcaab0

834448048 has 60 divisors (see below), whose sum is σ = 1897545960. Its totient is φ = 354418176.

The previous prime is 834448037. The next prime is 834448079. The reversal of 834448048 is 840844438.

834448048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8344480482 = 1392607089622020608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 834447995 and 834448013.

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, 83883 + ... + 93301.

It is an arithmetic number, because the mean of its divisors is an integer number (31625766).

Almost surely, 2834448048 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 834448048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948772980).

834448048 is an abundant number, since it is smaller than the sum of its proper divisors (1063097912).

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

834448048 is a wasteful number, since it uses less digits than its factorization.

834448048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The square root of 834448048 is about 28886.8144315014. The cubic root of 834448048 is about 941.4554365939.

The spelling of 834448048 in words is "eight hundred thirty-four million, four hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 392 452 784 791 904 1582 1808 3164 5537 6328 9419 11074 12656 18838 22148 37676 44296 65933 75352 88592 131866 150704 263732 461531 527464 923062 1054928 1064347 1846124 2128694 3692248 4257388 7384496 7450429 8514776 14900858 17029552 29801716 52153003 59603432 104306006 119206864 208612012 417224024 834448048