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992016368 = 24761731
BaseRepresentation
bin111011001000001…
…111011111110000
32120010122122121222
4323020033133300
54012424010433
6242234204212
733404000000
oct7310173760
92503578558
10992016368
11469a70642
12238283668
1312a6a3345
1495a70000
155c155b98
hex3b20f7f0

992016368 has 140 divisors (see below), whose sum is σ = 2450860992. Its totient is φ = 387233280.

The previous prime is 992016359. The next prime is 992016371. The reversal of 992016368 is 863610299.

It is a super-2 number, since 2×9920163682 = 1968192948759822848, which contains 22 as substring.

992016368 is a modest number, since divided by 16368 gives 992 as remainder.

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 27 ways as a sum of consecutive naturals, for example, 32000513 + ... + 32000543.

Almost surely, 2992016368 is an apocalyptic number.

992016368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225430496).

992016368 is an abundant number, since it is smaller than the sum of its proper divisors (1458844624).

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

992016368 is an frugal number, since it uses more digits than its factorization.

992016368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 992016368 is about 31496.2913372352. The cubic root of 992016368 is about 997.3316757116.

The spelling of 992016368 in words is "nine hundred ninety-two million, sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 49 56 62 68 98 112 119 124 136 196 217 238 248 272 343 392 434 476 496 527 686 784 833 868 952 1054 1372 1519 1666 1736 1904 2108 2401 2744 3038 3332 3472 3689 4216 4802 5488 5831 6076 6664 7378 8432 9604 10633 11662 12152 13328 14756 16807 19208 21266 23324 24304 25823 29512 33614 38416 40817 42532 46648 51646 59024 67228 74431 81634 85064 93296 103292 117649 134456 148862 163268 170128 180761 206584 235298 268912 285719 297724 326536 361522 413168 470596 521017 571438 595448 653072 723044 941192 1042034 1142876 1190896 1265327 1446088 1882384 2000033 2084068 2285752 2530654 2892176 3647119 4000066 4168136 4571504 5061308 7294238 8000132 8336272 8857289 10122616 14588476 16000264 17714578 20245232 29176952 32000528 35429156 58353904 62001023 70858312 124002046 141716624 248004092 496008184 992016368