Search a number
-
+
992383300 = 2252192322709
BaseRepresentation
bin111011001001101…
…001000101000100
32120011100021222001
4323021221011010
54013022231200
6242250115044
733410055526
oct7311510504
92504307861
10992383300
1146a1a1297
1223841ba84
1312a7a136c
1495b27a16
155c1c976a
hex3b269144

992383300 has 72 divisors (see below), whose sum is σ = 2365473600. Its totient is φ = 359694720.

The previous prime is 992383261. The next prime is 992383303. The reversal of 992383300 is 3383299.

It is a super-2 number, since 2×9923833002 = 1969649228237780000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 992383300.

It is not an unprimeable number, because it can be changed into a prime (992383303) 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, 32346 + ... + 55054.

It is an arithmetic number, because the mean of its divisors is an integer number (32853800).

Almost surely, 2992383300 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 992383300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182736800).

992383300 is an abundant number, since it is smaller than the sum of its proper divisors (1373090300).

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

992383300 is a wasteful number, since it uses less digits than its factorization.

992383300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22765 (or 22758 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 992383300 is about 31502.1158019584. The cubic root of 992383300 is about 997.4546265712.

The spelling of 992383300 in words is "nine hundred ninety-two million, three hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 22709 43700 45418 90836 113545 227090 431471 454180 522307 567725 862942 1044614 1135450 1725884 2089228 2157355 2270900 2611535 4314710 5223070 8629420 9923833 10446140 10786775 13057675 19847666 21573550 26115350 39695332 43147100 49619165 52230700 99238330 198476660 248095825 496191650 992383300