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992006550 = 232523137043
BaseRepresentation
bin111011001000001…
…101000110010110
32120010122011011100
4323020031012112
54012423202200
6242234050530
733403626243
oct7310150626
92503564140
10992006550
11469a64227
12238279a46
1312a69ba32
1495a6a5ca
155c152d00
hex3b20d196

992006550 has 72 divisors (see below), whose sum is σ = 2674085544. Its totient is φ = 263652480.

The previous prime is 992006513. The next prime is 992006551. The reversal of 992006550 is 55600299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992006551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137329 + ... + 144371.

It is an arithmetic number, because the mean of its divisors is an integer number (37140077).

Almost surely, 2992006550 is an apocalyptic number.

992006550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 992006550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337042772).

992006550 is an abundant number, since it is smaller than the sum of its proper divisors (1682078994).

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

992006550 is a wasteful number, since it uses less digits than its factorization.

992006550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 992006550 is about 31496.1354772296. The cubic root of 992006550 is about 997.3283854989.

The spelling of 992006550 in words is "nine hundred ninety-two million, six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 313 450 626 939 1565 1878 2817 3130 4695 5634 7043 7825 9390 14085 14086 15650 21129 23475 28170 35215 42258 46950 63387 70425 70430 105645 126774 140850 176075 211290 316935 352150 528225 633870 1056450 1584675 2204459 3169350 4408918 6613377 11022295 13226754 19840131 22044590 33066885 39680262 55111475 66133770 99200655 110222950 165334425 198401310 330668850 496003275 992006550