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992894940 = 2232543163787
BaseRepresentation
bin111011001011100…
…101111111011100
32120012022021210200
4323023211333130
54013140114230
6242305103500
733414316302
oct7313457734
92505267720
10992894940
1146a510734
12238627b90
1312a9201cb
1495c1c272
155c27b160
hex3b2e5fdc

992894940 has 144 divisors (see below), whose sum is σ = 3104669568. Its totient is φ = 256701312.

The previous prime is 992894927. The next prime is 992894941. The reversal of 992894940 is 49498299.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992894941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261227 + ... + 1262013.

Almost surely, 2992894940 is an apocalyptic number.

992894940 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 992894940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552334784).

992894940 is an abundant number, since it is smaller than the sum of its proper divisors (2111774628).

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

992894940 is a wasteful number, since it uses less digits than its factorization.

992894940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 992894940 is about 31510.2354799199. The cubic root of 992894940 is about 997.6260153232.

The spelling of 992894940 in words is "nine hundred ninety-two million, eight hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 163 172 180 215 258 326 387 430 489 516 645 652 774 787 815 860 978 1290 1467 1548 1574 1630 1935 1956 2361 2445 2580 2934 3148 3260 3870 3935 4722 4890 5868 7009 7083 7335 7740 7870 9444 9780 11805 14018 14166 14670 15740 21027 23610 28036 28332 29340 33841 35045 35415 42054 47220 63081 67682 70090 70830 84108 101523 105135 126162 128281 135364 140180 141660 169205 203046 210270 252324 256562 304569 315405 338410 384843 406092 420540 507615 513124 609138 630810 641405 676820 769686 1015230 1154529 1218276 1261620 1282810 1522845 1539372 1924215 2030460 2309058 2565620 3045690 3848430 4618116 5516083 5772645 6091380 7696860 11032166 11545290 16548249 22064332 23090580 27580415 33096498 49644747 55160830 66192996 82741245 99289494 110321660 165482490 198578988 248223735 330964980 496447470 992894940