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992242940 = 2251321631801
BaseRepresentation
bin111011001001000…
…110110011111100
32120011002011102112
4323021012303330
54013003233230
6242243113152
733405632363
oct7311066374
92504064375
10992242940
1146a105897
122383727b8
1312a752500
1495acc7da
155c19cd95
hex3b246cfc

992242940 has 72 divisors (see below), whose sum is σ = 2271428208. Its totient is φ = 363916800.

The previous prime is 992242891. The next prime is 992242957. The reversal of 992242940 is 49242299.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 550040 + ... + 551840.

It is an arithmetic number, because the mean of its divisors is an integer number (31547614).

Almost surely, 2992242940 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 992242940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135714104).

992242940 is an abundant number, since it is smaller than the sum of its proper divisors (1279185268).

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

992242940 is a wasteful number, since it uses less digits than its factorization.

992242940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 992242940 is about 31499.8879363086. The cubic root of 992242940 is about 997.4075985957.

The spelling of 992242940 in words is "nine hundred ninety-two million, two hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 169 260 326 338 652 676 815 845 1630 1690 1801 2119 3260 3380 3602 4238 7204 8476 9005 10595 18010 21190 23413 27547 36020 42380 46826 55094 93652 110188 117065 137735 234130 275470 293563 304369 468260 550940 587126 608738 1174252 1217476 1467815 1521845 2935630 3043690 3816319 5871260 6087380 7632638 15265276 19081595 38163190 49612147 76326380 99224294 198448588 248060735 496121470 992242940