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996067824 = 243374313043
BaseRepresentation
bin111011010111101…
…100100111110000
32120102021111011220
4323113230213300
54014443132244
6242501105040
733453302553
oct7327544760
92512244156
10996067824
11471288554
122396b8180
1312b49145b
149640669a
155c6a6319
hex3b5ec9f0

996067824 has 80 divisors (see below), whose sum is σ = 2704386432. Its totient is φ = 315512064.

The previous prime is 996067771. The next prime is 996067829. The reversal of 996067824 is 428760699.

It is a happy number.

It is a super-2 number, since 2×9960678242 = 1984302220016189952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996067829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69847 + ... + 82889.

Almost surely, 2996067824 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 996067824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352193216).

996067824 is an abundant number, since it is smaller than the sum of its proper divisors (1708318608).

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

996067824 is a wasteful number, since it uses less digits than its factorization.

996067824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 996067824 is about 31560.5422006657. The cubic root of 996067824 is about 998.6875529029.

The spelling of 996067824 in words is "nine hundred ninety-six million, sixty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1776 2064 3182 4773 6364 9546 12728 13043 19092 25456 26086 38184 39129 52172 76368 78258 104344 156516 208688 313032 482591 560849 626064 965182 1121698 1447773 1682547 1930364 2243396 2895546 3365094 3860728 4486792 5791092 6730188 7721456 8973584 11582184 13460376 20751413 23164368 26920752 41502826 62254239 83005652 124508478 166011304 249016956 332022608 498033912 996067824