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992977380 = 223451314679
BaseRepresentation
bin111011001011111…
…010000111100100
32120012110110220000
4323023322013210
54013200234010
6242310541300
733415111533
oct7313720744
92505413800
10992977380
1146a56766a
12238667830
1312a94b8a5
1495c4031a
155c2957c0
hex3b2fa1e4

992977380 has 120 divisors (see below), whose sum is σ = 3139456320. Its totient is φ = 262716480.

The previous prime is 992977379. The next prime is 992977393. The reversal of 992977380 is 83779299.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 209881 + ... + 214559.

It is an arithmetic number, because the mean of its divisors is an integer number (26162136).

Almost surely, 2992977380 is an apocalyptic number.

992977380 is a gapful number since it is divisible by the number (90) 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 992977380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569728160).

992977380 is an abundant number, since it is smaller than the sum of its proper divisors (2146478940).

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

992977380 is a wasteful number, since it uses less digits than its factorization.

992977380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 992977380 is about 31511.5435991320. The cubic root of 992977380 is about 997.6536254993.

The spelling of 992977380 in words is "nine hundred ninety-two million, nine hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 4679 4716 5895 7074 7860 9358 10611 11790 14037 14148 17685 18716 21222 23395 23580 28074 35370 42111 42444 46790 53055 56148 70185 70740 84222 93580 106110 126333 140370 168444 210555 212220 252666 280740 378999 421110 505332 612949 631665 757998 842220 1225898 1263330 1515996 1838847 1894995 2451796 2526660 3064745 3677694 3789990 5516541 6129490 7355388 7579980 9194235 11033082 12258980 16549623 18388470 22066164 27582705 33099246 36776940 49648869 55165410 66198492 82748115 99297738 110330820 165496230 198595476 248244345 330992460 496488690 992977380