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999000816 = 2431129531231
BaseRepresentation
bin111011100010111…
…000101011110000
32120121210111111020
4323202320223300
54021221011231
6243044015440
733520236552
oct7342705360
92517714436
10999000816
11472a01110
1223a691580
1312bc7a458
149696b4d2
155ca85396
hex3b8b8af0

999000816 has 160 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 286540800.

The previous prime is 999000809. The next prime is 999000817. The reversal of 999000816 is 618000999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999000817) 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, 810921 + ... + 812151.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2999000816 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 999000816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

999000816 is an abundant number, since it is smaller than the sum of its proper divisors (1970809104).

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

999000816 is a wasteful number, since it uses less digits than its factorization.

999000816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 999000816 is about 31606.9741671043. The cubic root of 999000816 is about 999.6668276752. Note that the first 3 decimals are identical.

The spelling of 999000816 in words is "nine hundred ninety-nine million, eight hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 53 58 66 87 88 106 116 132 159 174 176 212 232 264 318 319 348 424 464 528 583 636 638 696 848 957 1166 1231 1272 1276 1392 1537 1749 1914 2332 2462 2544 2552 3074 3498 3693 3828 4611 4664 4924 5104 6148 6996 7386 7656 9222 9328 9848 12296 13541 13992 14772 15312 16907 18444 19696 24592 27082 27984 29544 33814 35699 36888 40623 50721 54164 59088 65243 67628 71398 73776 81246 101442 107097 108328 130486 135256 142796 162492 195729 202884 214194 216656 260972 270512 285592 324984 391458 392689 405768 428388 521944 571184 649968 717673 782916 785378 811536 856776 1043888 1178067 1435346 1565832 1570756 1713552 1892047 2153019 2356134 2870692 3131664 3141512 3784094 4306038 4712268 5676141 5741384 6283024 7568188 8612076 9424536 11352282 11482768 15136376 17224152 18849072 20812517 22704564 30272752 34448304 41625034 45409128 62437551 83250068 90818256 124875102 166500136 249750204 333000272 499500408 999000816