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996740192 = 25717289173
BaseRepresentation
bin111011011010010…
…000110001100000
32120110112122111102
4323122100301200
54020131141232
6242523333532
733462103040
oct7332206140
92513478442
10996740192
114716a7728
122399812a8
1312b6684c6
149653d720
155c78a662
hex3b690c60

996740192 has 144 divisors (see below), whose sum is σ = 2423040480. Its totient is φ = 395231232.

The previous prime is 996740191. The next prime is 996740219. The reversal of 996740192 is 291047699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996740191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5761418 + ... + 5761590.

It is an arithmetic number, because the mean of its divisors is an integer number (16826670).

Almost surely, 2996740192 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 996740192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211520240).

996740192 is an abundant number, since it is smaller than the sum of its proper divisors (1426300288).

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

996740192 is a wasteful number, since it uses less digits than its factorization.

996740192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 996740192 is about 31571.1924386774. The cubic root of 996740192 is about 998.9122144851.

The spelling of 996740192 in words is "nine hundred ninety-six million, seven hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 89 112 119 136 173 178 224 238 272 289 346 356 476 544 578 623 692 712 952 1156 1211 1246 1384 1424 1513 1904 2023 2312 2422 2492 2768 2848 2941 3026 3808 4046 4624 4844 4984 5536 5882 6052 8092 9248 9688 9968 10591 11764 12104 15397 16184 19376 19936 20587 21182 23528 24208 25721 30794 32368 38752 41174 42364 47056 48416 49997 51442 61588 64736 82348 84728 94112 99994 102884 107779 123176 164696 169456 180047 199988 205768 215558 246352 261749 329392 338912 349979 360094 399976 411536 431116 492704 523498 658784 699958 720188 799952 823072 862232 1046996 1399916 1440376 1599904 1724464 1832243 2093992 2799832 2880752 3448928 3664486 4187984 4449733 5599664 5761504 7328972 8375968 8899466 11199328 14657944 17798932 29315888 31148131 35597864 58631776 62296262 71195728 124592524 142391456 249185048 498370096 996740192