Search a number
-
+
985796192 = 25236719991
BaseRepresentation
bin111010110000100…
…000111001100000
32112200221122011002
4322300200321200
54004330434232
6241453011132
733300062243
oct7260407140
92480848132
10985796192
114665022a7
12236183aa8
13129306074
1494cd125a
155b827b62
hex3ac20e60

985796192 has 48 divisors (see below), whose sum is σ = 2055497472. Its totient is φ = 464407680.

The previous prime is 985796191. The next prime is 985796197. The reversal of 985796192 is 291697589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985796191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39317 + ... + 59307.

It is an arithmetic number, because the mean of its divisors is an integer number (42822864).

Almost surely, 2985796192 is an apocalyptic number.

985796192 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985796192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027748736).

985796192 is an abundant number, since it is smaller than the sum of its proper divisors (1069701280).

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

985796192 is a wasteful number, since it uses less digits than its factorization.

985796192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20091 (or 20083 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 56.

The square root of 985796192 is about 31397.3914840071. The cubic root of 985796192 is about 995.2428022899.

The spelling of 985796192 in words is "nine hundred eighty-five million, seven hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 1072 1541 2144 3082 6164 12328 19991 24656 39982 49312 79964 159928 319856 459793 639712 919586 1339397 1839172 2678794 3678344 5357588 7356688 10715176 14713376 21430352 30806131 42860704 61612262 123224524 246449048 492898096 985796192