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992538468 = 2233371491667
BaseRepresentation
bin111011001010001…
…110111101100100
32120011122011211000
4323022032331210
54013042212333
6242253313300
733411303105
oct7312167544
92504564730
10992538468
1146a297929
12238495830
1312a826b8c
1495b683ac
155c20a713
hex3b28ef64

992538468 has 96 divisors (see below), whose sum is σ = 2662128000. Its totient is φ = 319552128.

The previous prime is 992538467. The next prime is 992538479. The reversal of 992538468 is 864835299.

It is a super-3 number, since 3×9925384683 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (992538461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594571 + ... + 596237.

It is an arithmetic number, because the mean of its divisors is an integer number (27730500).

Almost surely, 2992538468 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 992538468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331064000).

992538468 is an abundant number, since it is smaller than the sum of its proper divisors (1669589532).

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

992538468 is a wasteful number, since it uses less digits than its factorization.

992538468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 992538468 is about 31504.5785243986. The cubic root of 992538468 is about 997.5066108443.

The spelling of 992538468 in words is "nine hundred ninety-two million, five hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 149 222 298 333 444 447 596 666 894 999 1332 1341 1667 1788 1998 2682 3334 3996 4023 5001 5364 5513 6668 8046 10002 11026 15003 16092 16539 20004 22052 30006 33078 45009 49617 60012 61679 66156 90018 99234 123358 148851 180036 185037 198468 246716 248383 297702 370074 496766 555111 595404 740148 745149 993532 1110222 1490298 1665333 2220444 2235447 2980596 3330666 4470894 6661332 6706341 8941788 9190171 13412682 18380342 26825364 27570513 36760684 55141026 82711539 110282052 165423078 248134617 330846156 496269234 992538468