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996453192 = 233771139601
BaseRepresentation
bin111011011001001…
…010101101001000
32120110000001210210
4323121022231020
54020043000232
6242513241120
733456466230
oct7331125510
92513001723
10996453192
11471521039
122398631a0
1312b597997
14964a6cc0
155c7305cc
hex3b64ab48

996453192 has 128 divisors (see below), whose sum is σ = 2912716800. Its totient is φ = 278208000.

The previous prime is 996453191. The next prime is 996453221. The reversal of 996453192 is 291354699.

996453192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (996453191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657692 + ... + 1658292.

It is an arithmetic number, because the mean of its divisors is an integer number (22755600).

Almost surely, 2996453192 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 996453192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456358400).

996453192 is an abundant number, since it is smaller than the sum of its proper divisors (1916263608).

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

996453192 is a wasteful number, since it uses less digits than its factorization.

996453192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 996453192 is about 31566.6468285753. The cubic root of 996453192 is about 998.8163301451.

The spelling of 996453192 in words is "nine hundred ninety-six million, four hundred fifty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 139 142 168 213 278 284 417 426 497 556 568 601 834 852 973 994 1112 1202 1491 1668 1704 1803 1946 1988 2404 2919 2982 3336 3606 3892 3976 4207 4808 5838 5964 7212 7784 8414 9869 11676 11928 12621 14424 16828 19738 23352 25242 29607 33656 39476 42671 50484 59214 69083 78952 83539 85342 100968 118428 128013 138166 167078 170684 207249 236856 250617 256026 276332 298697 334156 341368 414498 501234 512052 552664 584773 597394 668312 828996 896091 1002468 1024104 1169546 1194788 1657992 1754319 1792182 2004936 2339092 2389576 3508638 3584364 4678184 5931269 7017276 7168728 11862538 14034552 17793807 23725076 35587614 41518883 47450152 71175228 83037766 124556649 142350456 166075532 249113298 332151064 498226596 996453192